A Note on Infinite-Dimension Under Refinable Maps

DOI10.2307/2045136zbMath0541.54046OpenAlexW4237463451MaRDI QIDQ3327343

Hisao Kato

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045136

zbMATH Keywords

compact metric spacesweakly infinite-dimensional spacecountable-dimensional spacestrongly infinite-dimensional spacepreservation under refinable maps

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45)

Related Items (3)

A Remark on Refinable Maps and Calmness ⋮ On classes of maps which preserve finitisticness ⋮ Property C, Refinable Maps and Dimension Raising Maps

Cites Work

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• Refinable maps and generalized absolute neighborhood retracts
• Refinable maps
• A Weakly Infinite-Dimensional Compactum which is not Countable-Dimensional
• Refinable maps in the theory of shape

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