Regular completions of Cauchy spaces via function algebras

DOI10.1017/S0004972700043665zbMath0281.54001OpenAlexW1991212299MaRDI QIDQ4766221

Ray J. Gazik, Darrell C. Kent

Publication date: 1974

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700043665

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Algebraic properties of function spaces in general topology (54C40) Extension of maps (54C20)

Related Items (5)

The category of Cauchy spaces is Cartesian closed ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Algebras of Cauchy continuous maps ⋮ On composition closed function classes

Cites Work

• Die Limes-Uniformisierbarkeit der Limesräume
• Uniform convergence structures
• Bemerkungen zu limitierten Funktionenalgebren
• Zu den Beziehungen zwischen \(c\)-einbettbaren Limesräumen und ihren limitierten Funktionenalgebren
• Cauchy spaces. II: Regular completions and compactifications
• Cauchy spaces. I: Structure and uniformization theorems
• Axioms of countability and the algebra C(X)

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