The Mardesic factorization theorem for extension theory and c-separation

DOI10.1090/S0002-9939-00-05353-3zbMath0951.54033MaRDI QIDQ4501103

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Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

CW-complexhomotopy domination

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10)

Related Items (11)

Compact maps and quasi-finite complexes ⋮ The paucity of universal compacta in cohomological dimension ⋮ A generalization of the Levin-Rubin-Schapiro factorization theorem ⋮ Extension dimension and quasi-finite CW-complexes ⋮ Extensional maps and approximate inverse limits ⋮ Unbounded sets of maps and compactification in extension theory ⋮ Dimension-raising theorems for cohomological and extension dimensions ⋮ Some classes of weakly infinite-dimensional spaces ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Unnamed Item ⋮ Extension dimension of a wide class of spaces

Cites Work

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• Factorization theorems for cohomological dimension
• A factorization theorem for the cohomological dimensions of mappings
• The hyperspaces of infinite-dimensional compacta for covering and cohomological dimension are homeomorphic
• Cohomological dimension of Tychonov spaces
• Another proof of E. Hopf's ergodic lemma
• Universal Cell-Like Maps
• Cohomological dimension and approximate limits
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX
• Cohomological dimension and metrizable spaces. II

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