A topological completeness concept with applications to the open mapping theorem and the separation of convex sets

DOI10.1016/0166-8641(90)90120-QzbMath0724.54013MaRDI QIDQ757878

Dominikus Noll

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

open mapping theoremnearly feebly open mappingp-complete webp-completeness

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Baire category, Baire spaces (54E52) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (3)

Effros, Baire, Steinhaus and non-separability ⋮ Once again on topological spaces containing a dense completely metrizable subset ⋮ Almost complete spaces, hypercomplete spaces and related mapping theorems

Cites Work

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• Baire Spaces and Graph Theorems
• Open mapping theorems in topological spaces
• Regularity and Stability for Convex Multivalued Functions
• On CS ‐closed sets
• Topological Spaces That are α-Favorable for a Player with Perfect Information

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