Extension dimension of a wide class of spaces

DOI10.2969/jmsj/06141097zbMath1182.54023OpenAlexW2033316191MaRDI QIDQ1046436

Ivan Ivanšić, Leonhard R. Rubin

Publication date: 22 December 2009

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

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/4/61_1097/_article

zbMATH Keywords

polyhedronextension dimensionweightCW-complexabsolute extensorextension theory\(\sigma\)-compactum\(\sigma\)-pseudo-compactumabsolute co-extensoranti-basiscardinality of a complexdd-spaceddP-spaceextension typeHausdorff \(\sigma\)-compactumpseudo-compactweak extension dimension

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (2)

Approximate extension property of mappings ⋮ Extension theory and finite products of copies of [\(0,\Omega \))

Cites Work

• Extension dimension for paracompact spaces
• Extension theory for maps of compact spaces
• The extension dimension of universal spaces
• The Mardesic factorization theorem for extension theory and c-separation
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX
• Local characterization of absolute co-extensors
• On spaces having the weak topology with respect to closed coverings
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