Singular sets and maximal topologies

Kennedy, G.; McCartan, S.

doi:10.1090/S0002-9939-99-04883-2

Singular sets and maximal topologies
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by G. J. Kennedy and S. D. McCartan PDF

Proc. Amer. Math. Soc. 127 (1999), 3375-3382 Request permission

Abstract:

Spaces which are maximal with respect to a semi-regular property are characterised. Furthermore, a method to construct such topologies is given. Consequently, new characterisations of maximal pseudocompact spaces and of maximal Q.H.C. spaces are presented. Known characterisations of maximal connected spaces and of maximal feebly compact spaces are given alternative proofs.

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