Lecture Notes in Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Paul Kirk James F. Davis 作者

American Mathematical Society

譯者

2001-8-1 出版日期

367 頁數

USD 64.00 價格

Hardcover

Graduate Studies in Mathematics 叢書系列

9780821821602 圖書編碼

Lecture Notes in Algebraic Topology 在線電子書圖書標籤: 數學代數拓撲拓撲 topology Math

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發表於2024-06-30

Lecture Notes in Algebraic Topology 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Lecture Notes in Algebraic Topology 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Lecture Notes in Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Lecture Notes in Algebraic Topology 在線電子書用戶評價

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本書解決瞭我對於同調論中符號錶示意義的解答Sq(X;R) =functions({singular simplexes},R).接近現代代數拓撲的研究生課程：範疇函子導齣函子作為基本語言；三角剖分拓撲空間同胚與幾何錶示單復形，相對奇異鏈復形是自由模；奇異上同調是反變函子空間連續映射到分次模同態，Kronecker pairing 類比域形式微分

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Lecture Notes in Algebraic Topology 在線電子書著者簡介

Lecture Notes in Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Lecture Notes in Algebraic Topology 在線電子書圖書描述

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems.

To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated.

Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book.

The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic K-theory and the s-cobordism theorem.

A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars.

The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

Lecture Notes in Algebraic Topology 在線電子書下載 mobi epub pdf txt 在線電子書下載

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