Ultrafilter-completeness on zero-sets of uniformly continuous functions

DOI10.1016/j.topol.2018.11.008zbMath1408.54005OpenAlexW2901678370WikidataQ128888604 ScholiaQ128888604MaRDI QIDQ1632737

Asylbek A. Chekeev, Tumar J. Kasymova

Publication date: 17 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.008

zbMATH Keywords

uniformityWallman compactificationnormal baseWallman realcompactification\(\beta\)-like compactification\(u\)-cozero-set\(u\)-zero-setcoz-fine spacecoz-mapping

Mathematics Subject Classification ID

Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Uniform structures and generalizations (54E15) Extension of maps (54C20) (C)- and (C^*)-embedding (54C45) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (2)

R-compact uniform spaces in the category ZUni f ⋮ A note on dieudonne complete spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rectangular conditions in products and equivariant completions
• When lattices of uniformly continuous functions on \(X\) determine \(X\)
• Algebras of uniformly continuous functions
• On completions of topological groups with respect to the maximal uniform structure and factorization of uniform homomorphisms with respect to uniform weight and dimension
• Rectangularity of products and completions of their subsets
• On uniformly discrete subsets in uniform spaces and topological groups
• A Note on Metric-Fine Spaces
• Subcategories of Uniform Spaces
• A New Covering Dimension Function for Uniform Spaces
• Perfect Maps and Epi-Reflective Hulls
• On the Topological Completion
• Some Nearly Fine Uniform Spaces
• The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces
• β-like compactifications
• Compactifications and Semi-Normal Spaces
• On Inverse-Closed Subalgebras of C (X )^†
• Nest Generated Intersection Rings in Tychonoff Spaces
• On epi-reflective hulls
• Categorical topology
• Uniformities for Wallman compactifications and realcompactifications

This page was built for publication: Ultrafilter-completeness on zero-sets of uniformly continuous functions