Cauchy spaces. I: Structure and uniformization theorems
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Publication:2539179
DOI10.1007/BF01432251zbMath0195.24403MaRDI QIDQ2539179
Publication date: 1970
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/162015
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)
To-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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