Injective topological fibre spaces

DOI10.1016/S0166-8641(01)00297-8zbMath1023.18014OpenAlexW2156627320WikidataQ114121913 ScholiaQ114121913MaRDI QIDQ1862107

Sandra Mantovani, Francesca Cagliari

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00297-8

zbMATH Keywords

retractinjective objectexponentiable morphismpartial productcomma-category

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Projectives and injectives (category-theoretic aspects) (18G05) Fibrewise topology (55R70) Fiber spaces in algebraic topology (55R05)

Related Items (7)

On injective objects and existence of injective hulls in 𝑄-TOP/(𝑌, 𝜎) ⋮ Fibrewise injectivity in order and topology ⋮ Fibrewise injectivity and Kock-Zöberlein monads ⋮ T\(_{0}\)-reflection and injective hulls of fibre spaces ⋮ Necessary and sufficient conditions for admissible set open topologies ⋮ Injectivity and sections ⋮ Weak injectivity in the category of normal fuzzy hypergroups

Cites Work

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• Exponentiable morphisms, partial products and pullback complements
• Cartesianness: topological spaces, uniform spaces, and affine schemes
• Preservation of topological properties under exponentiation
• Weak factorization systems and topological functors
• General function spaces, products and continuous lattices
• Injective Hulls of Semilattices

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