Expand
发表于 2025-3-26 22:23:23
-Complexes,ological spaces. One of the difficulties is that given two arbitrary topological spaces . it is very difficult to construct any map .: . → .. If we restricted our attention to a class of spaces built up step by step out of simple building blocks (think of simplicial complexes, for example), then we
地名表
发表于 2025-3-27 04:10:47
Homotopy Properties of ,-Complexes,will be consequences of the simplicial approximation theorem. In addition, we shall show that if .: . → . is a map between .-complexes such that .: .(., .) → .(., .) is an isomorphism for all . ⩾ 0, then. is a homotopy equivalence.
tympanometry
发表于 2025-3-27 07:33:26
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finite
发表于 2025-3-27 11:27:59
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THROB
发表于 2025-3-27 17:29:50
Representation Theorems,shall prove a converse result: given a cohomology theory . satisfying the wedge axiom on .’ we shall construct a spectrum . and a natural equivalence of cohomology theories .: .* →p .* on .’. In fact, we shall do somewhat more than that; for any cofunctor .*: .’ → . satisfying the wedge axiom and a
亚麻制品
发表于 2025-3-27 19:09:06
Ordinary Homology Theory,ingular homology . is an ordinary homology theory with coefficients . on the category .’. We shall show that any two ordinary homology theories with coefficients . satisfying the wedge and WHE axioms are naturally equivalent. We shall also construct the Eilenberg-MacLane spectrum . with
暴发户
发表于 2025-3-28 01:30:42
Vector Bundles and ,-Theory,ose for which every fibre has the structure of a vector space in a way which is compatible on neighboring fibres. We show how equivalence classes of such vector bundles over a .-complex can be used to define groups .*(.) in such a way that .* becomes a cohomology theory.
laceration
发表于 2025-3-28 05:22:14
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沉着
发表于 2025-3-28 10:05:22
Products,homology functors: one wants to investigate the existence or nonexistence of maps .: . → . by looking at the corresponding algebraic morphisms .:.(.) → .(.). As we have said before, the richer the algebraic structure on .(.), the more useful . will be for these investigations. In this chapter we int
小母马
发表于 2025-3-28 12:51:57
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