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The Pacific Reporter

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language : en
Publisher:
Release Date : 1985

The Pacific Reporter written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Law reports, digests, etc categories.

Calendar Of State Papers And Manuscripts Relating To English Affairs Existing In The Archives And Collections Of Venice And In The Other Libraries Of Northern Italy

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language : en
Publisher:
Release Date : 1884

Calendar Of State Papers And Manuscripts Relating To English Affairs Existing In The Archives And Collections Of Venice And In The Other Libraries Of Northern Italy written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with categories.

Algebraic K Theory The Homotopy Approach Of Quillen And An Approach From Commutative Algebra

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Author : Satya Mandal
language : en
Publisher: World Scientific
Release Date : 2023-06-22

Algebraic K Theory The Homotopy Approach Of Quillen And An Approach From Commutative Algebra written by Satya Mandal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-22 with Mathematics categories.

In this book the author takes a pedagogic approach to Algebraic K-theory. He tried to find the shortest route possible, with complete details, to arrive at the homotopy approach of Quillen [Q] to Algebraic K-theory, with a simple goal to produce a self-contained and comprehensive pedagogic document in Algebraic K-theory, that is accessible to upper level graduate students. That is precisely what this book faithfully executes and achieves.The contents of this book can be divided into three parts — (1) The main body (Chapters 2-8), (2) Epilogue Chapters (Chapters 9, 10, 11) and (3) the Background and preliminaries (Chapters A, B, C, 1). The main body deals with Quillen's definition of K-theory and the K-theory of schemes. Chapters 2, 3, 5, 6, and 7 provide expositions of the paper of Quillen [Q], and chapter 4 is on agreement of Classical K-theory and Quillen K-theory. Chapter 8 is an exposition of the work of Swan [Sw1] on K-theory of quadrics.The Epilogue chapters can be viewed as a natural progression of Quillen's work and methods. These represent significant benchmarks and include Waldhausen K-theory, Negative K-theory, Hermitian K-theory, 𝕂-theory spectra, Grothendieck-Witt theory spectra, Triangulated categories, Nori-Homotopy and its relationships with Chow-Witt obstructions for projective modules. In most cases, the proofs are improvisation of methods of Quillen [Q].The background, preliminaries and tools needed in chapters 2-11, are developed in chapters A on Category Theory and Exact Categories, B on Homotopy, C on CW Complexes, and 1 on Simplicial Sets.