On some variants of compactness

Year 2014, Volume: 43 Issue: 6, 891 - 898, 01.12.2014

S. Bayhan İ. L. Reilly

Abstract

Three weak variants of compactness were introduced and studied by
Kohli and Singh [ Acta Math. Hungar. 106 (2005), 317-329 ]. These
three properties are reconsidered from the change of topology perspective. In particular, it is shown that each of these properties is equivalent
to compactness with respect to another topology on the underlying set.
Some consequences of this situation are investigated. 

Keywords

compactness, change of topology, d-compact, d ∗ -compact, Dδcompact, continuous function, D-continuous function, D∗ -continuous function, Dδ-continuous function, D-supercontinuous function, D-irresolute function

References

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