Local homeomorphisms as the exponentiable morphisms in compact Hausdorff spaces

DOI10.1016/0166-8641(91)90009-BzbMath0791.54016MaRDI QIDQ1187126

Sandra Mantovani, Francesca Cagliari

Publication date: 28 June 1992

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

zbMATH Keywords

pullbackpartial productexponentiable morphisms

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Categorical methods in general topology (54B30) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20)

Related Items (4)

On exponentiability of étale algebraic homomorphisms ⋮ Fibrewise injectivity in order and topology ⋮ Regularity of the category of Kelley spaces ⋮ Preservation of topological properties under exponentiation

Cites Work

• Exponentiable morphisms, partial products and pullback complements
• Cartesianness: topological spaces, uniform spaces, and affine schemes
• Open maps, colimits, and a convenient category of fibre spaces
• A convenient category of topological spaces
• The exponential law of maps. II
• Convenient categories of topological spaces for homotopy theory
• Quasi-topologies
• Spaces of partial maps, fibred mapping spaces and the compact-open topology
• On the application of fibred mapping spaces to exponential laws for bundles, ex-spaces and other categories of maps
• On a Topological Topos
• FUNCTION SPACES AND PRODUCT TOPOLOGIES
• The Exponential Law of Maps I
• Convenient categories for topology
• TEN TOPOLOGIES FOR X × Y
• Limesräume und Komplettierung
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