Cauchy spaces. I: Structure and uniformization theorems

DOI10.1007/BF01432251zbMath0195.24403MaRDI QIDQ2539179

J. F. Ramaley, Oswald Wyler

Publication date: 1970

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

Full work available at URL: https://eudml.org/doc/162015

zbMATH Keywords

topologyCauchy filtersconvergence spaces

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Related Items (8)

T_o-OBJECTS AND SEPARATED OBJECTS IN TOPOLOGICAL CATEGORIES ⋮ Convergences, pretopologies and proximities induced by Cauchy and Riesz screens ⋮ On unitary Cauchy filters on topological monoids ⋮ On unitary extensions and unitary completions of topological monoids ⋮ On finest unitary extensions of topological monoids ⋮ PROXIMAL LIMIT SPACES ⋮ Cauchy spaces. II: Regular completions and compactifications ⋮ Regular completions of Cauchy spaces via function algebras

Cites Work

• Limesräume
• Die Limes-Uniformisierbarkeit der Limesräume
• Uniformization of convergence spaces. Part I: Definitions and fundamental constructions
• Uniform convergence structures
• Cauchy spaces. II: Regular completions and compactifications
• On the categories of general topology and topological algebra
• Indexed Systems of Neighborhoods for General Topological Spaces
• On the convergence structure of Mikusiński operators
• Limesräume und Komplettierung

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