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Realization of cartesian closed topological hulls

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Abstract

The cartesian closed topological (CCT) hull of a concrete categoryK is the smallest full CCT extension ofK. A general method for describing the CCT hulls is presented and applied to render unified proofs for the basic examples ofK: topological spaces, uniform spaces, pretopological spaces, compact T2 spaces, metrizable spaces, and completely regular spaces.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Technical University of Prague, Prague, Czechoslovakia

    J. Adámek

  2. Faculty of Engineering Physics and Nuclear Science, Technical University of Prague, Prague, Czechoslovakia

    J. Reiterman

  3. Department of Mathematics, Kansas State University, 66506, Manhattan, Kansas, USA

    G. E. Strecker

Authors
  1. J. Adámek
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  2. J. Reiterman
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  3. G. E. Strecker
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Adámek, J., Reiterman, J. & Strecker, G.E. Realization of cartesian closed topological hulls. Manuscripta Math 53, 1–33 (1985). https://doi.org/10.1007/BF01174009

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  • DOI: https://doi.org/10.1007/BF01174009

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