Every topological category is convenient for Gelfand duality
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Publication:1255208
DOI10.1007/BF01168608zbMath0401.46041MaRDI QIDQ1255208
Hans-E. Porst, Manfred Bernd Wischnewsky
Publication date: 1978
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/154564
(E,M)- FactorizationCotensorsGalois-CorrespondenceGelfand-Naimark DualityGeneralized Closure OperatorsMonadic FunctorsMonoidally Closed CategoryTopological CategoriesTopological CategoryTopological Functors
Duality theory for topological vector spaces (46A20) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Enriched categories (over closed or monoidal categories) (18D20) Methods of category theory in functional analysis (46Mxx)
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Cites Work
- Limesräume
- Induced functors on categories of algebras
- Adjunctions and comonads in differential algebra
- On equicontinuity and continuous convergence
- Tensor products in categories
- A convenient category of topological spaces
- Bemerkungen zu limitierten Funktionenalgebren
- Das Tensorprodukt als universelles Problem
- Applications différentiables et variétés différentiables de dimension infinie
- Kan extensions in enriched category theory
- Convenient categories of topological algebras, and their duality theory
- Categories of continuous functors. I
- Adjoint Lifting Theorems for Categories of Algebras
- Adjoints to functors from categories of algebras
- Iterated cotriples
- A cartesian closed category for topology
- Semi-identifying Lifts and a Generalization of the Duality Theorem for Topological Functors
- CARTESIAN CLOSED COREFLECTIVE HULLS
- Tensor Products and Bimorphisms
- A General Stone-Gelfand Duality
- Topological functors
- Reflective Functors in General Topology and Elsewhere
- Reflectors as Compositions of Epi-Reflectors
- A general character theory for partially ordered sets and lattices
- Localization at Injectives in Complete Categories
- Convergence functions and their related topologies
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
