| 期刊全称 | Algebraic Topology of Finite Topological Spaces and Applications | | 影响因子2023 | Jonathan A. Barmak | | 视频video | | | 发行地址 | It is the first complete exposition of the topic.Has applications to the study of two long-standing conjectures.It is self-contained.Includes supplementary material: | | 学科分类 | Lecture Notes in Mathematics | | 图书封面 |  | | 影响因子 | 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 topologicalstructures 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. | | Pindex | Book 2011 |
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发表于 2025-3-21 16:06:51
