Universal finite-to-one map and universal countable dimensional spaces

DOI10.1016/0166-8641(95)00050-XzbMath0845.54025OpenAlexW2073349333MaRDI QIDQ1910716

Jerzy Mogilski

Publication date: 11 September 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00050-x

zbMATH Keywords

finite-to-one mapuniversal strongly countable dimensional space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Dimension theory in general topology (54F45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizing certain incomplete infinite-dimensional absolute retracts
• Universal maps and absorbing sets in the class of countable dimensional spaces
• Property C and Fine Homotopy Equivalences
• On classification of weakly infinite-dimensional compacta
• Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
• Linear Maps do not Preserve Countable-Dimensionality
• Countable Dimensional Universal Sets
• On the countable sum of zero-dimensional metric spaces
• Characterizing Hilbert space topology
• An Ar-Map whose Range is more Infinite-Dimensional than its Domain
• Certain Sequence and Function Spaces Homeomorphic to the Countable Product of l ² _f
• On CE-images of the Hubert cube and characterization of Q-manifolds
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Universal Cell-Like Maps
• Monotone sequence of $O$-dimensional subsets of metric spaces
• A remark on general imbedding theorems in dimension theory
• On dimensional properties of infinite dimensional spaces
• Shuffling Ordinals and Transfinite Dimension
• Characterizing 𝑘-dimensional universal Menger compacta