2015
DOI: 10.4995/agt.2015.3141
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F-nodec spaces

Abstract: Following Van Douwen, a Secondly, we characterize maps f given by a flow (X, f ) in the category Set such that (X, P(f )) is nodec (resp., T0-nodec), where P(f ) is a topology on X whose closed sets are precisely f -invariant sets.

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Cited by 3 publications
(2 citation statements)
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“…In [10], [11] and [8], the authors have characterized topological spaces whose F -reflections are door, submaximal, nodec and resolvable.…”
Section: Introductionmentioning
confidence: 99%
“…In [10], [11] and [8], the authors have characterized topological spaces whose F -reflections are door, submaximal, nodec and resolvable.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, in [3] and [4] ( [6] and [7]), the authors give a characterization of spaces such that their F-reflections (their compactifications) are submaximal, door and nodec. In this paper F designates a covariant functor from the category Top to itself.…”
Section: Introductionmentioning
confidence: 99%