Bornological properties of spaces of non-Archimedean valued functions

DOI10.1007/BF01762507zbMath0456.46066MaRDI QIDQ1150870

Willy Govaerts

Publication date: 1980

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

space of continuous functionsultrabornologicalnon-Archimedean fieldbornological spacebornologicalultraregular spaceweakly saturatedZ-repletion

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Barrelled spaces, bornological spaces (46A08)

Related Items (1)

On the topology of simple convergence in non-Archimedean function spaces

Cites Work

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• Espaces de fonctions continues
• Further results on E-compact spaces. I
• Bornological Spaces of Non-Archimedean Valued Functions with the Compact- Open Topology
• Rings of Continuous Functions with Values in a Topological Field
• Bornological Spaces of Non-Archimedean Valued Functions with the Point-Open Topology

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