Tychonoff functor and product spaces

DOI10.3792/pjaa.54.97zbMath0416.54004OpenAlexW2040888768MaRDI QIDQ754503

Shinpei Oka

Publication date: 1978

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.54.97

zbMATH Keywords

locally compact Hausdorff spaceproduct spacescategory of all Tychonoff spacesepi-reflective functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Local compactness, (sigma)-compactness (54D45)

Related Items

New types of separation properties and countably \(w\)-paracompact spaces, On the Tychonoff functor and w-compactness, Embedding theorems for function spaces, Covariant functors in categories of topological spaces, Duality theorems for marginal problems

Cites Work

• Čech cohomology and covering dimension for topological spaces
• Applications of complete families of continuous functions to the theory of $Q$-spaces
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