Universal Cell-Like Maps
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Publication:4318319
DOI10.2307/2160775zbMath0823.54026OpenAlexW4249785184MaRDI QIDQ4318319
Publication date: 31 October 1995
Full work available at URL: https://doi.org/10.2307/2160775
Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Dimension theory in general topology (54F45) Extension of maps (54C20) Dimension theory in algebraic topology (55M10)
Related Items (15)
Universal countable-dimensional topological groups ⋮ Universal separable metrizable spaces of given cohomological dimension ⋮ Compact maps and quasi-finite complexes ⋮ Universal finite-to-one map and universal countable dimensional spaces ⋮ Cohomological dimension of Tychonov spaces ⋮ Absorbing sets in the Hilbert cube related to cohomological dimension ⋮ The paucity of universal compacta in cohomological dimension ⋮ Extension dimension and quasi-finite CW-complexes ⋮ Open problems in topology. ⋮ Cohomological dimension and metrizable spaces. II ⋮ Unbounded sets of maps and compactification in extension theory ⋮ Dimension of maps, universal spaces, and homotopy ⋮ On two problems in extension theory ⋮ The Mardesic factorization theorem for extension theory and c-separation ⋮ Extension theory of separable metrizable spaces with applications to dimension theory
Cites Work
- Compactifications and cohomological dimension
- Cell-like maps onto non-compact spaces of finite cohomological dimension
- Shape theory. An introduction
- The hyperspaces of infinite-dimensional compacta for covering and cohomological dimension are homeomorphic
- Cohomological dimension of Tychonov spaces
- UNIVERSAL MENGER COMPACTA AND UNIVERSAL MAPPINGS
- Homological dimension theory
- Spaces Without Cohomological Dimension Preserving Compactifications
- Cohomological dimension and metrizable spaces. II
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