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Categorical Topology pp 482–500Cite as

Categorical problems in minimal spaces

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 540))

Abstract

A space X with a topological property P is called minimal P if X has no strictly coarser topology with property P and is called P-closed if X is a closed set in every space with property P that contains X as a subspace. This paper surveys, from a categorical viewpoint, a number of results recently obtained in minimal P and P-closed spaces where P includes the properties of regular Hausdorff, extremally disconnected Hausdorff, and the separation axioms S(α) for each ordinal α>0. Particular attention is focused on some of the categorical problems in these areas.

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Authors
  1. Jack R. Porter
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Ernst Binz Horst Herrlich

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© 1976 Springer-Verlag

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Porter, J.R. (1976). Categorical problems in minimal spaces. In: Binz, E., Herrlich, H. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080872

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  • DOI: https://doi.org/10.1007/BFb0080872

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07859-3

  • Online ISBN: 978-3-540-38118-1

  • eBook Packages: Springer Book Archive

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