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Asılbek ÇEKEEVFaculty / Institute [1]
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Subject Headings [20]
- normal base 2
- uniformity 2
- (P*)-embedding 1
- (wallman) realcompactification 1
- (wallman, β-like) compactification 1
- P tau (P tau*)-embedding 1
- coz-fine space 1
- coz-mapping 1
- dieudonne tau-completeness 1
- dieudonne tau-completion 1
- dimension 1
- free topological group of a uniform space 1
- free topological group of tychonoff space 1
- locally finite cozero covering 1
- tau-co-LFA z-ultrafilter 1
- u-cozero-set 1
- u-zero-set 1
- universal uniformity 1
- wallman compactification 1
- wallman realcompactification 1 More less
Asılbek ÇEKEEV
Proceedings Paper | 2016 | Topology and its Applications201
The natural methods of uniform topology for construction of Wallman compactifications and Wallman realcompactifications are developed. Results on partial order and relations of dimensions in the lattice of compactifications are presented. The construction of the maximal compactification among compactifications of X with fixed realcompactification is given. - MSC 54E15; 54D35; 54D60; 54F45 . - Keywords: Uniformity; (Wallman, β-like) compactification; (Wallman) realcompactification; Normal base; Dimension
Asılbek ÇEKEEV
Proceedings Paper | 2019 | Topology and its Applications252
The various types of ultrafilter-completeness on zero-sets of uniformly continuous functions are introduced, their properties are studied and characterizations in the category are given.
Asılbek ÇEKEEV
Article | 2020 | Topology and its Applications281 ( Special Issue )
For a Tychonoff space X, the Dieudonne tau-completion of X, denoted by mu TX, is investigated. The space mu TX is defined as the completion of X with respect to the uniformity uTX, where uTX is generated by all continuous mappings of X to metric spaces of weight
