Completions of uniform convergence spaces

DOI10.1007/BF01362537zbMath0217.19603OpenAlexW2003153648MaRDI QIDQ5971471

Ellen E. Reed

Publication date: 1971

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162189

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Related Items

The category of stratified \(L\)-filter spaces ⋮ On topologies on the underlying set of a topological monoid induced by its unitary extensions ⋮ Quantale-valued Cauchy tower spaces and completeness ⋮ The category of residuated lattice valued filter spaces ⋮ \(\lambda\)-complete filter spaces ⋮ Convergences, pretopologies and proximities induced by Cauchy and Riesz screens ⋮ Regularity: lattice-valued Cauchy spaces ⋮ A note on Cauchy spaces ⋮ On unitary extensions and unitary completions of topological monoids ⋮ Convergence ⋮ Solutions of smooth nonlinear partial differential equations ⋮ On finest unitary extensions of topological monoids ⋮ Algebras of Cauchy continuous maps ⋮ On composition closed function classes ⋮ Filter spaces

Cites Work

• Die Limes-Uniformisierbarkeit der Limesräume
• Uniform convergence structures
• Cauchy spaces. II: Regular completions and compactifications
• Ein Komplettierungsfunktor für uniforme Limesräume
• Limesräume und Komplettierung