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<図書>
Algebraic topology of finite topological spaces and applications

責任表示 Jonathan A. Barmak
シリーズ Lecture notes in mathematics ; 2032
データ種別 図書
出版情報 Berlin : Springer , c2011
本文言語 英語
大きさ xvii, 170 p. : ill. ; 24 cm
概要 This volume deals with the theory of finite topological spaces and itsrelationship with the homotopy and simple homotopy theory of polyhedra.The interaction between their intrinsic combinatorial and ...opologicalstructures makes finite spaces a useful tool for studying problems inTopology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillen'sconjecture on the poset of p-subgroups of a finite group and theAndrews-Curtis conjecture on the 3-deformability of contractibletwo-dimensional complexes.This self-contained work constitutes the first detailedexposition on the algebraic topology of finite spaces. It is intendedfor topologists and combinatorialists, but it is also recommended foradvanced undergraduate students and graduate students with a modestknowledge of Algebraic Topology. 続きを見る
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所蔵情報



理系図3F 数理独自 SER/LNM/2032 2011
033212011004243

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Barmak, Jonathan A.
件 名 LCSH:Algebraic topology
LCSH:Finite groups
書誌ID 1001456767
ISBN 9783642220029
NCID BB06789677
巻冊次 ISBN:9783642220029
登録日 2011.10.06
更新日 2017.02.18

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