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Two procedures in bitopology

Part of the Lecture Notes in Mathematics book series (LNM,volume 719)

Abstract

Two procedures for extending topological or uniform space concepts to bitopological or quasi-uniform spaces are: (1) spanning subcategories or functors by suitable objects; (2) lifting epireflections. The main theorem relates Cauchy completions of functorial admissible (quasi-) uniformities to generalized compactness reflections. We discuss the non-unique extension of the realcompactness reflection to bitopological spaces and the resulting bitopological version of Shirota's theorem.

AMS(MOS) codes

  • Primary 54D60
  • 54E15
  • 54E55
  • secondary 18A40

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© 1979 Springer-Verlag

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Brümmer, G.C.L. (1979). Two procedures in bitopology. In: Herrlich, H., Preuß, G. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065256

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  • DOI: https://doi.org/10.1007/BFb0065256

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09503-3

  • Online ISBN: 978-3-540-35193-1

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