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Preservation of topological properties under exponentiation

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Publication:1206524
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DOI10.1016/0166-8641(92)90069-CzbMath0773.54009MaRDI QIDQ1206524

Francesca Cagliari, Sandra Mantovani

Publication date: 1 April 1993

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


zbMATH Keywords

pseudotopological spacesCartesian closed categories of fibre spaces


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)


Related Items

On exponentiability of étale algebraic homomorphisms, Injective topological fibre spaces



Cites Work

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  • Exponentiable morphisms, partial products and pullback complements
  • Cartesianness: topological spaces, uniform spaces, and affine schemes
  • Local homeomorphisms as the exponentiable morphisms in compact Hausdorff spaces
  • Open maps, colimits, and a convenient category of fibre spaces
  • Topological Spaces with Prescribed Nonconstant Continuous Mappings
  • A cartesian closed category for topology
  • Spaces of partial maps, fibred mapping spaces and the compact-open topology
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