Cohomological dimension of Tychonov spaces

DOI10.1016/S0166-8641(96)00176-9zbMath0888.55001MaRDI QIDQ1368596

A. Ch. Chigogidze

Publication date: 25 May 1998

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

cohomological dimensionlimit theoremrealcompactuniversal spacePolish spaceaddition theoremsubspace theoremabsolute extensorinverse spectrumEilenberg-MacLane complexHewitt realcompactificationTikhonov space

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Spectra in general topology (54B35) Dimension theory in algebraic topology (55M10)

Related Items (17)

Hurewicz theorem for extension dimension ⋮ Universal absolute extensors in extension theory ⋮ Universal separable metrizable spaces of given cohomological dimension ⋮ Compact maps and quasi-finite complexes ⋮ Extension dimension and quasi-finite CW-complexes ⋮ Open problems in topology. ⋮ Extraordinary dimension theories generated by complexes. ⋮ Cohomological dimension and metrizable spaces. II ⋮ Unbounded sets of maps and compactification in extension theory ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Universal metric spaces and extension dimension ⋮ A Countable Extension Basis Theorem and its applications ⋮ Several remarks on dimensions modulo ANR-compacta ⋮ Universal Cell-Like Maps ⋮ Unnamed Item ⋮ On absolute extensors modulo a complex ⋮ The Mardesic factorization theorem for extension theory and c-separation

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