Generalized Reflective cum Coreflective Classes in Top and Unif

Miroslav Hušek and Anna Tozzi
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Miroslav Hušek: Charles University, Dept. of Mathematics
Anna Tozzi: University of L’Aquila, Dept. of Mathematics

A chapter in Categorical Topology, 1996, pp 57-68 from Springer

Abstract: Abstract The Herrlich’s problem from [8] whether there are nontrivial classes of topological spaces that are both almost reflective or injective and almost coreflective or projective, is investigated in a more general setting using cone and cocone modifications of the classes used in the problem. We look also at the problem for uniform spaces. Typical results: There is no nontrivial multiprojective and orthogonal class of topological spaces; There is a reflective class of uniform spaces that is almost coreflective in Unif.

Keywords: coreflectivity; reflectivity; projectivity; injectivity; 54B30 (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0263-3_5

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DOI: 10.1007/978-94-009-0263-3_5

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