Categorical anatomy of closed graph and open mapping theorems

DOI10.1016/0166-8641(82)90056-6zbMath0501.46006OpenAlexW2015214870MaRDI QIDQ1172237

A. G. Hitchcock

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90056-6

zbMATH Keywords

targetssourcesbarrelled coreflectionBr-completecategorical description of closed graph and open mapping theoremscompleteness of quotientsinfra-s-spaceKr-completelocally fine coreflection

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Methods of category theory in functional analysis (46M99)

Cites Work

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• Inverse limits and the completeness of quotient groups
• A categorical approach to the closed graph theorem
• Topological groups which satisfy an open mapping theorem
• Barrelledness in topological and ordered vector spaces
• Topological vector spaces. The theory without convexity conditions
• Completeness of a factor group
• On the Comparison of Topologies
• On the Closed Graph Theorem and Spaces with Webs^†

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