The lattice of bornologies on a set

DOI10.36045/J.BBMS.240318MaRDI QIDQ6652818

H. Pajoohesh, Gerald Beer

Publication date: 13 December 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

zbMATH Keywords

Boolean algebracomplete latticeframebornologyway belowprincipal bornology

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Complete lattices, completions (06B23) Frames, locales (06D22) Extension of maps (54C20) Real-valued functions in general topology (54C30)

Cites Work

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• Fixed points of continuous DCPOs
• The Alexandroff one-point compactification as a prototype for extensions
• Pointwise bornological vector spaces
• Bornologies and metrically generated theories
• The topology of the \(\rho\)-Hausdorff distance
• Finite chainability, locally Lipschitzian and uniformly continuous functions
• Bornological convergence and shields
• Bounded sets in spaces and topological groups
• Bornological spaces
• Bornologies, topological games and function spaces
• Strong uniform continuity
• Boundedness in a topological space
• Bornologies and locally Lipschitz functions
• Representations of bornologies
• U(X) as a ring for metric spaces X
• New types of completeness in metric spaces
• Bornologies and Lipschitz Analysis
• Metric Spaces and Related Analysis

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