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Coset extensions of <Emphasis Type=”Italic”>S</Emphasis>-sets

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Summary

Three weak variants of compactness which lie strictly between compactness and quasicompactness, are introduced. Their basic properties are studied. The interplay with mapping and their direct and inverse preservation under mappings are investigated. In the process three decompositions of compactness are observed.

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Authors and Affiliations

  1. Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.

    P.A. Grillet

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  1. P.A. Grillet
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Grillet, P. Coset extensions of <Emphasis Type=”Italic”>S</Emphasis>-sets. Acta Math Hung 106, 301–315 (2005). https://doi.org/10.1007/s10474-005-0021-5

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  • DOI: https://doi.org/10.1007/s10474-005-0021-5

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