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Some generalizations of Lindelöf and paracompact spaces

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Abstract

In this paper notions ofm-Lindelöf, meta-m-Lindelöf, para-m-Lindelöf andm-closure preserving property are defined, wherem is any infinite cardinal. The main results are the following:

  1. (a)

    A topological space ism-Lindelöf if and only if it is meta-m-Lindelöf and it ism-Lindelöf in the sense of complete accumulation point.

  2. (b)

    A regular topological space is paracompact if and only if it is para-m-Lindelöf and it hasm-closure preserving property for somem.

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Authors and Affiliations

  1. Department of Mathematics, University of Saskatchewan, Regina, Saskatchewan, Canada

    C. M. Pareek & S. K. Kaul

Authors
  1. C. M. Pareek
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  2. S. K. Kaul
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Pareek, C.M., Kaul, S.K. Some generalizations of Lindelöf and paracompact spaces. Monatshefte fü Mathematik 79, 131–137 (1975). https://doi.org/10.1007/BF01585669

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  • DOI: https://doi.org/10.1007/BF01585669

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