Dimension of Stratifiable Spaces

DOI10.2307/1999015zbMath0508.54026OpenAlexW4235730537MaRDI QIDQ4746472

Shinpei Oka

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999015

zbMATH Keywords

class of stratifiable spaces with sigma-closure preserving encircling netsperfect (closed) images of zero-dimensional stratifiable spaces

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (8)

On closed subsets of \(M_{1}\)-spaces ⋮ Equality of dimensions for some paracompact \(\sigma \)-spaces ⋮ Closure preserving properties of \(C_{k}\)(metric fan) ⋮ On the dimension of preimages of certain paracompact spaces ⋮ Stratifiable spaces defined by pair collections ⋮ Normality and countable paracompactness of products with \(\sigma\)-spaces having special nets ⋮ On M-structures ⋮ Characterizations of stratifiable \(\mu\)-spaces

Cites Work

• Some generalizations of metric spaces
• Weak L-spaces are free L-spaces
• Neighbornets
• A note on the covering dimension of Lasnev spaces
• On stratifiable spaces
• Concerning semi-stratifiable spaces
• Dimension of free L-spaces
• The equality of dimensions
• An Inequality Concerning Three Fundamental Dimensions of Paracompact σ-Spaces
• A note on nets and metrization
• Perfect class of spaces
• The Closed Image of a Metrizable Space is M 1
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