Almost coreflective and projective classes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1994 English Publisher:Springer Science and Business Media LLCJournal:Applied Categorical Structures, volume 2, pages 187-203 (issn: 0927-2852, eissn: 1572-9095,

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Authors: H. L. Bentley; Miroslav Husek;

doi: 10.1007/bf00873299

Almost coreflective and projective classes

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Abstract

The paper gives a general (Freyd-Kelly type) criterion for a projectivity class in a category to be almost coreflective (= weakly coreflective and closed under coretracts). Various interesting examples and applications mostly to topological categories are also provided.

Related Organizations

University System of Ohio
United States
Charles University
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University of Toledo
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Keywords

projectivity class, Fairly general properties of topological spaces, almost coreflective subcategory, Categories of topological spaces and continuous mappings, Categorical methods in general topology, multiprojective object

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