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Homology and Cohomology Theories of General Spaces
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acyclic Aleksandrov Alexander-Spanier arbitrary Arhangel'skii and Ponomarev axiom of countability Bredon called cardinal invariants Cech cohomology chain complexes Chap closed subsets closed subspace closure cochains coefficients cohomology groups cohomology sequence cohomology theory coincides compact group compact Hausdorff extension compact supports compactum considered construction continuous mapping convergence Corollary countable base countable tightness countably compact defined denote dense dimension Dokl duality Dugundji compact dyadic embedded Engelking 1977 English translation example exists fact flabby following result formulas functor group G Hausdorff space homology and cohomology homomorphism infinite intersection inverse isomorphism locally compact spaces locally constant manifolds Math metrizable Nauk neighborhood obtained open subsets pair paracompact space particular polyhedra Ponomarev 1974 presheaf Proposition pseudocompact space resolution ring satisfying second kind Sect sections sequential sheaves simplices singular spectral sequence Stone-Cech compactification Suslin number Theorem Tikhonov cube Tikhonov space topological group topological spaces zero-dimensional