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About DK-like spaces and some applications by Liang-Xue Peng is a Mathematics article available to read on EtoBox.
What is About DK-like spaces and some applications about?
Let CSK be the class of all K-scattered spaces having countable ranks. It is shown in this paper that if X is a regular θ-refinable space, then player one has a winning strategy in G(DK, X) if and only if he has one in G(CSK, X). This partly answers Y. Yajima's problem: By topological games, I prove that hereditary disconnectedness, zero-dimensionality and strong zero-dimensionality are equivalent in the realm of non-empty normal compact-scattered weak θ-refinable spaces. A collectionwise normal ultraparacompact-like space is an ultraparacompact space.
Who reads About DK-like spaces and some applications?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Liang-Xue Peng
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0166-8641)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)