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Coset extensions of S-sets
Authors:P.A. Grillet
Affiliation:(1) Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.
Abstract: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.
Keywords:S-set  coset  coset extension  group coextension  Sch&  #252  tzenberger group  Sch&  #252  tzenberger functor  atransitive S-set
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