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A Generalization of Herrlich's Question on Almost Reflective and Coreflective Subclasses of Top and Unif

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Abstract

H. Herrlich asked in Topology Appl. 49 (1993), 251–264, whether there are nontrivial classes of topological spaces that are almost reflective and almost coreflective at the same time. This question was dealt with (in Hušek and Tozzi, Appl. Categ. Structures 4 (1996), 57–68) in a more general setting than almost reflective and almost coreflective classes. The present paper investigates a modified question: when a nontrivial generalized reflective class of topological or uniform spaces is equivalent to a generalized coreflective class of spaces.

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Authors and Affiliations

  1. Department of Mathematics, Charles University, Sokolovská 83, 18600, Prague, Czech Republic

    Miroslav Hušek

  2. Department of Mathematics, University of L'Aquila, L'Aquila, Italy

    Anna Tozzi

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  1. Miroslav Hušek
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  2. Anna Tozzi
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Hušek, M., Tozzi, A. A Generalization of Herrlich's Question on Almost Reflective and Coreflective Subclasses of Top and Unif. Applied Categorical Structures 8, 393–406 (2000). https://doi.org/10.1023/A:1008687114777

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