<図書>
Algebraic topology of finite topological spaces and applications
責任表示 | Jonathan A. Barmak |
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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 |
電子版へのリンク | https://hdl.handle.net/2324/7012311 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/2032 | 2011 |
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033212011004243 |
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書誌詳細
一般注記 | Includes bibliographical references and index |
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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 |