Nonstandard topologies with bases that consist only of standard sets

DOI10.1090/S0002-9939-00-05790-7zbMath0965.46046OpenAlexW1515538444MaRDI QIDQ2718975

Nader Vakil

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05790-7

zbMATH Keywords

Banach spaceSchauder's theoremMazur's theoremcompactness conditionsnonstandard topologiesGelfand-Philips's theorem

Mathematics Subject Classification ID

Nonstandard functional analysis (46S20) Nonstandard topology (54J05)

Cites Work

• The nonstandard hulls of a uniform space
• A proof of Schauder's theorem
• Nonstandard analysis in topology: nonstandard and standard compactifications
• On Compactness in Functional Analysis
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