Finite-to-one mappings and large transfinite dimension

DOI10.1016/S0166-8641(97)00065-5zbMath0894.54027OpenAlexW2040607224MaRDI QIDQ1379789

Yasunao Hattori, Kohzo Yamada

Publication date: 13 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00065-5

zbMATH Keywords

large transfinite dimension

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45)

Cites Work

• Characterizations of strongly countable-dimensional and locally finite- dimensional spaces
• On countable-dimensional spaces
• On characterizations of classes of metrizable spaces that have transfinite dimension
• Classification of weakly infinite-dimensional spaces. Part I: A transfinite extension of the covering dimension
• Strong Transfinite Ordinal Dimension
• A note on transfinite dimension
• On universal spaces for certain classes of infinite dimensional spaces
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