Mathematics of the USSR-Sbornik · 1971 · 22 citations · 3 references
Natural SciencesMathematicsGeometrySet TheoryTopologyCategory TheoryCohomology TheoryHomology TheoryHomotopy TheoryTopological SpacesUniqueness TheoryCompact Metrizable SpacesContractive MappingsHomology AxiomsMetrizability TheoremsSecond Countable SpacesUniqueness Theorems
For suitable sets of axioms, uniqueness theorems are proved in the following categories: a) countable locally finite polyhedra and proper mappings; b) metrizable compacta; c) locally compact second-countable spaces and proper mappings; d) Hausdorff spaces whose compact subspaces are metrizable; e) paracompact weakly locally contractible spaces.Bibliography: 11 items.
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Homology theory for locally compact spaces.
Armand Borel, John C. Moore · The Michigan Mathematical Journal · 1960 · 194 citations · Full text
Regular Cycles of Compact Metric Spaces
Norman Steenrod · Annals of Mathematics · 1940 · 86 citations