ALGEBRAIC K-THEORY SECOND EDITION REPRINT OF THE 1995 SECOND EDITION 🔍
V. Srinivas (auth.)
Birkhäuser Basel, Progress in Mathematics, Modern Birkhauser Classics, 2, 1994
英语 [en] · PDF · 4.4MB · 1994 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience.
A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties.
"It is a pleasure to read this mathematically beautiful book..." **---__WW.J. Julsbergen, Mathematics Abstracts__**
"The book does an admirable job of presenting the details of Quillen's work..." **__---Mathematical Reviews__**
A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties.
"It is a pleasure to read this mathematically beautiful book..." **---__WW.J. Julsbergen, Mathematics Abstracts__**
"The book does an admirable job of presenting the details of Quillen's work..." **__---Mathematical Reviews__**
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-0-8176-4739-1.pdf
备用文件名
nexusstc/Algebraic K-Theory/22cbe27a69220046f90dddad072c3dcb.pdf
备用文件名
scihub/10.1007/978-0-8176-4739-1.pdf
备用文件名
zlib/Mathematics/V. Srinivas (auth.)/Algebraic K-Theory_2129205.pdf
备选标题
Algebraic K-theory (modern Birkhäuser Classics)
备选作者
Vasudevan Srinivas
备用出版商
Birkhäuser Boston : Imprint : Birkhäuser
备用出版商
Birkhaüser
备用出版商
BIRKHAUSER
备用出版商
Springer
备用版本
Modern Birkhäuser Classics, Reprint of the 1995 Second edition, Boston, cop. 2008
备用版本
Modern Birkhäuser classics, 2nd ed., repr. of the 1995 ed, Boston, ©2008
备用版本
Springer Nature (Textbooks & Major Reference Works), Boston, MA, 2009
备用版本
Modern Birkhäuser classics, Second edition, Boston, MA, 1996
备用版本
Modern Birkhäuser Classics Ser, 2nd ed, Boston, MA, 2007
备用版本
Modern Birkhäuser Classics, 2nd ed. 1996, Boston, 2007
备用版本
United States, United States of America
备用版本
2, 2007-11-13
备用版本
Nov 13, 2007
元数据中的注释
lg975285
元数据中的注释
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备用描述
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties. "It is a pleasure to read this mathematically beautiful book ..."--WW. J. Julsbergen, Mathematics Abstracts "The book does an admirable job of presenting the details of Quillen's work ..."--Mathematical Reviews
备用描述
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. This new edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers “Higher Algebraic K-Theory, I, II.” A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An applications is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties.
备用描述
Front Matter....Pages i-xvii
“Classical” K -Theory....Pages 1-17
The Plus Construction....Pages 18-30
The Classifying Space of a Small Category....Pages 31-37
Exact Categories and Quillen’s Q -Construction....Pages 38-45
The K -Theory of Rings and Schemes....Pages 46-88
Proofs of the Theorems of Chapter 4....Pages 89-125
Comparison of the Plus and Q -Constructions....Pages 126-144
The Merkurjev—Suslin Theorem....Pages 145-193
Localization for Singular Varieties....Pages 194-229
Back Matter....Pages 230-341
“Classical” K -Theory....Pages 1-17
The Plus Construction....Pages 18-30
The Classifying Space of a Small Category....Pages 31-37
Exact Categories and Quillen’s Q -Construction....Pages 38-45
The K -Theory of Rings and Schemes....Pages 46-88
Proofs of the Theorems of Chapter 4....Pages 89-125
Comparison of the Plus and Q -Constructions....Pages 126-144
The Merkurjev—Suslin Theorem....Pages 145-193
Localization for Singular Varieties....Pages 194-229
Back Matter....Pages 230-341
备用描述
Modern Birkhäuser Classics
Erscheinungsdatum: 13.11.2007
Erscheinungsdatum: 13.11.2007
开源日期
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The collection on Anna’s Archive that provided data for this record.
URL: /datasets/nexusstc
网站: /datasets
Collection:
scihub
The collection on Anna’s Archive that provided data for this record.
URL: /datasets/scihub
网站: /datasets
代码浏览器: 在代码浏览器中查看“collection:scihub”
Collection:
zlib
The collection on Anna’s Archive that provided data for this record.
URL: /datasets/zlib
网站: /datasets
代码浏览器: 在代码浏览器中查看“collection:zlib”
Content Type:
book_nonfiction
Content type, determined by Anna’s Archive.
SHA-256:
a99cbc27
代码浏览器: 在代码浏览器中查看“crc32:a99cbc27”
DuXiu Source Scrape Date:
2024-02-05
Date Anna’s Archive scraped the DuXiu collection.
网站: /datasets/duxiu
EBSCOhost eBook Index Source Scrape Date:
2024-08-23
Date Anna’s Archive scraped the EBSCOhost metadata.
网站: /datasets/edsebk
Google Books Source Scrape Date:
2024-09-20
Date Anna’s Archive scraped the Google Books collection.
网站: /datasets/gbooks
ISBNdb Scrape Date:
2022-09-01
The date that Anna’s Archive scraped this ISBNdb record.
网站: /datasets/isbndb
ISBN GRP Source Scrape Date:
2024-09-20
Date Anna’s Archive scraped the ISBN GRP collection.
kulturpass Source Scrape Date:
2024-12-29
Date Anna’s Archive scraped the kulturpass collection.
Libgen.rs Non-Fiction Date:
2013-08-01
Date Libgen.rs Non_Fiction published this file.
网站: /datasets/lgrs
Nexus/STC Source issued_at Date:
1994-01-01
Date Nexus/STC reports in their issued_at field, which is the “issuing time of the item described by record.”
Nexus/STC Source Updated Date:
2024-05-16
Date Nexus/STC last updated this record.
OCLC Scrape Date:
2025-01-01
The date that Anna’s Archive scraped this OCLC/WorldCat record.
网站: /datasets/oclc
OpenLib 'created' Date:
2019-04-03
The 'created' metadata field on the Open Library, indicating when the first version of this record was created.
网站: /datasets/ol
DuXiu DXID:
164024272159
网站: /datasets/duxiu
EBSCOhost eBook Index Accession Number:
2767996
ID in the EBSCOhost eBook Index (edsebk).
网站: /datasets/edsebk
代码浏览器: 在代码浏览器中查看“edsebk:2767996”
EBSCOhost eBook Index Subject:
bisac/MATHEMATICS / Algebra / Abstract
Tag in EBSCOhost eBook Index.
网站: /datasets/edsebk
EBSCOhost eBook Index Subject:
bisac/MATHEMATICS / Geometry / Algebraic
Tag in EBSCOhost eBook Index.
网站: /datasets/edsebk
EBSCOhost eBook Index Subject:
bisac/MATHEMATICS / Topology
Tag in EBSCOhost eBook Index.
网站: /datasets/edsebk
EBSCOhost eBook Index Subject:
unclass/Algebraic geometry
Tag in EBSCOhost eBook Index.
网站: /datasets/edsebk
EBSCOhost eBook Index Subject:
unclass/Algebraic topology
Tag in EBSCOhost eBook Index.
网站: /datasets/edsebk
Filepath:
lgli/A:\compressed\10.1007%2F978-0-8176-4739-1.pdf
Browse collections using their original file paths (particularly 'upload' is interesting)
Filepath:
lgrsnf/A:\compressed\10.1007%2F978-0-8176-4739-1.pdf
Browse collections using their original file paths (particularly 'upload' is interesting)
Filepath:
nexusstc/Algebraic K-Theory/22cbe27a69220046f90dddad072c3dcb.pdf
Browse collections using their original file paths (particularly 'upload' is interesting)
Filepath:
scihub/10.1007/978-0-8176-4739-1.pdf
Browse collections using their original file paths (particularly 'upload' is interesting)
Filepath:
zlib/Mathematics/V. Srinivas (auth.)/Algebraic K-Theory_2129205.pdf
Browse collections using their original file paths (particularly 'upload' is interesting)
Filesize:
4427205
Filesize in bytes.
Google Books:
Sr8iTL98eiAC
网站: /datasets/gbooks
Google Books:
_6sAhvjic3AC
网站: /datasets/gbooks
Google Books:
duqXBAAAQBAJ
网站: /datasets/gbooks
IPFS CID:
QmT34A8jBr5yo28m3ZrM9pUa3WFU5fgrT6GvcJsWz2m3cQ
Content Identifier (CID) of the InterPlanetary File System (IPFS).
IPFS CID:
bafykbzacecx3qwbgu443hxkhmre5qxs63w77qsjswzrc2hhfsz56kljzyjcac
Content Identifier (CID) of the InterPlanetary File System (IPFS).
ISBN GRP ID:
4ee1321ba24c0e552ea2d0899aedf6e7
ISBN GRP ID.
ISBN GRP ID:
7d387c987fdc778a27ab65d0aca84e54
ISBN GRP ID.
Kulturpass ID:
mp-00122756
Kulturpass ID.
Libgen.li File:
92032702
Global file ID in Libgen.li. Directly taken from the 'f_id' field in the 'files' table.
网站: /datasets/lgli
代码浏览器: 在代码浏览器中查看“lgli:92032702”
Libgen.li libgen_id:
975285
Repository ID for the 'libgen' repository in Libgen.li. Directly taken from the 'libgen_id' field in the 'files' table. Corresponds to the 'thousands folder' torrents.
网站: /datasets/lgli
Libgen.rs Non-Fiction:
975285
Repository ID for the non-fiction ('libgen') repository in Libgen.rs. Directly taken from the 'id' field in the 'updated' table. Corresponds to the 'thousands folder' torrents.
网站: /datasets/lgrs
代码浏览器: 在代码浏览器中查看“lgrsnf:975285”
MD5:
22cbe27a69220046f90dddad072c3dcb
Nexus/STC:
dyq0hboof0ixm9agi3qszst4o
ID of an individual edition of a file in Nexus/STC.
Nexus/STC Tag:
Algebraic Geometry
Tag in Nexus/STC.
Nexus/STC Tag:
Algebraic Topology
Tag in Nexus/STC.
Nexus/STC Tag:
K-Theory
Tag in Nexus/STC.
Nexus/STC Tag:
Topology
Tag in Nexus/STC.
OCLC Editions:
19
Number of editions (unique OCLC IDs) reported by OCLC/WorldCat metadata. 'many' means 20 or more.
网站: /datasets/oclc
代码浏览器: 在代码浏览器中查看“oclc_editions:19”
OCLC Editions (from search_holdings_all_editions_response):
19
网站: /datasets/oclc
OCLC 'From Filename':
2023_05_v4_type123/1159/1159622699
网站: /datasets/oclc
OCLC 'From Filename':
2023_05_v4_type123/6066/606627087
网站: /datasets/oclc
OCLC 'From Filename':
2023_05_v4_type123/7314/73147095
网站: /datasets/oclc
OCLC 'From Filename':
search_editions_response/22938149
网站: /datasets/oclc
OCLC 'From Filename':
search_editions_response/494865225
网站: /datasets/oclc
OCLC 'From Filename':
search_editions_response/604054214
网站: /datasets/oclc
OCLC 'From Filename':
search_editions_response/750833574
网站: /datasets/oclc
OCLC 'From Filename':
search_editions_response/807068927
网站: /datasets/oclc
OCLC 'From Filename':
t123/2500/25000304
网站: /datasets/oclc
OCLC 'From Filename':
w2/v6/1268/1268301232
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/2227/222793491
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/5862/586297873
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/5896/589603873
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/7253/725309991
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/8556/855615476
网站: /datasets/oclc
OCLC 'From Filename':
w2/v7/8792/879203713
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v3/1316/131600922
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0262/0262277839
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0274/0274078244
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0491/0491741043
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0515/0515054523
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0560/0560573773
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/0951/0951771446
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1045/1045798015
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1229/1229072202
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1263/1263860726
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1289/1289540887
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1310/1310169483
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1715/1715808817
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/1971/1971340558
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/2163/2163332209
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/3146/3146847265
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/4392/4392528011
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/4611/4611574813
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/4636/4636418947
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/4852/4852727984
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/4854/4854801627
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/5570/5570845537
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/5673/5673756257
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/5892/5892463263
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/6395/6395071270
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/7024/7024881281
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/7461/7461137645
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/8532/8532055293
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/9127/9127164046
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/9745/9745130339
网站: /datasets/oclc
OCLC 'From Filename':
worldcat_2022_09_titles_1_backup_2022_10_12/v6/9781/9781780187
网站: /datasets/oclc
Open Library:
OL19505613W
代码浏览器: 在代码浏览器中查看“ol:OL19505613W”
Open Library:
OL20793894W
代码浏览器: 在代码浏览器中查看“ol:OL20793894W”
Open Library:
OL26829994M
代码浏览器: 在代码浏览器中查看“ol:OL26829994M”
Open Library:
OL37392450M
代码浏览器: 在代码浏览器中查看“ol:OL37392450M”
Open Library Source Record:
amazon:0817647368
The code for a source record that Open Library imported from.
网站: /datasets/ol
Open Library Source Record:
bwb:9780817647360
The code for a source record that Open Library imported from.
网站: /datasets/ol
Open Library Source Record:
bwb:9780817647391
The code for a source record that Open Library imported from.
网站: /datasets/ol
Open Library Source Record:
harvard_bibliographic_metadata/ab.bib.13.20150123.full.mrc:953724713:3313
The code for a source record that Open Library imported from.
网站: /datasets/ol
Open Library Source Record:
ia:algebraicktheory00srin
The code for a source record that Open Library imported from.
网站: /datasets/ol
Server Path:
g4/libgenrs_nonfiction/libgenrs_nonfiction/975000/22cbe27a69220046f90dddad072c3dcb
Path on Anna’s Archive partner servers.
SHA-1:
vvveebzo526xeta2itklmvgpaydnr3dl
SHA-256:
1787621e486342a93c1c43bfc000588c1388850e43474746faa953374493a771
Torrent:
external/libgen_rs_non_fic/r_975000.torrent
Bulk torrent for long-term preservation.
网站: /torrents
Z-Library:
2129205
ID in Z-Library.
URL: https://z-lib.gd/
网站: /datasets/zlib
代码浏览器: 在代码浏览器中查看“zlib:2129205”
Zlib Category ID:
23
Category ID on the Z-Library website.
Zlib Category Name:
Mathematics
Name for the zlib_category_id (category ID on the Z-Library website).
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