Countable dimensionality and dimension raising cell-like maps

DOI10.1016/S0166-8641(97)00006-0zbMath0913.54029MaRDI QIDQ1371926

Jan J. Dijkstra, Jerzy Mogilski

Publication date: 7 June 1999

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

zbMATH Keywords

dimension raising maphereditary shape equivalencenear homeomorphismtransfinite inductive dimensioncountably dimensional space

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Dimension theory in general topology (54F45)

Related Items (1)

On classes of maps which preserve finitisticness

Cites Work

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• Proper hereditary shape equivalences preserve property C
• Property C and Fine Homotopy Equivalences
• Proper Hereditary Shape Equivalences Preserve Small Weak Infinite Dimensionality
• Countable Dimensional Universal Sets
• Characterizing Hilbert space topology
• An Ar-Map whose Range is more Infinite-Dimensional than its Domain
• The Role of Countable Dimensionality in the Theory of Cell-Like Relations
• Spaces of transfinite dimensionality
• A Method for Shrinking Decompositions of Certain Manifolds
• Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen

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