整体
发表于 2025-3-25 03:47:54
Graduate Texts in Mathematicshttp://image.papertrans.cn/u/image/926403.jpg
碳水化合物
发表于 2025-3-25 09:53:55
https://doi.org/10.1007/978-0-387-74614-2Algebraic topology; CW complex; Cohomology; Fundamental group; Group theory; Homotopy; algebra; homology; ho
adipose-tissue
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诽谤
发表于 2025-3-25 19:14:50
Topological Finiteness Properties and Dimension of GroupsThis chapter is about topological models for a group .: these are the socalled .(., 1)-complexes with fundamental group . and contractible universal cover. We then proceed to use the method of Sect.6.1 to replace an arbitrary .(., 1)-complex by one with fewer cells or lower dimension.
短程旅游
发表于 2025-3-25 22:12:43
Finiteness Properties of Some Important GroupsIn this chapter we introduce Coxeter groups, Thompson‘s groups, and (in outline) outer automorphism groups of free groups, and we apply the theory developed so far to these. The recent literature in group theory contains similar treatments of many other important classes of groups, so our examples should be seen merely as case studies.
狂乱
发表于 2025-3-26 01:41:46
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不发音
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撕裂皮肉
发表于 2025-3-26 10:02:16
Some Techniques in Homotopy Theoryreduce the number of cells in a dimension of interest. The most important theorems are 4.1.7 and 4.1.8 which are the key ingredients in the Rebuilding Lemma 6.1.4. That in turn tells us much about topological finiteness properties of groups (in Chapter 7). The last topic, the Hurewicz Theorem, is of fundamental importance in algebraic topology.
小木槌
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使显得不重要
发表于 2025-3-26 17:14:21
Locally Finite Homologyensitive detector of topological properties of infinite CW complexes having locally finite type. This new homology is not a homotopy invariant but it is a proper or CW-proper homotopy invariant in appropriate contexts. The “new homology modulo the old homology” defines homology at the end of a CW complex.