Minimal$T_{F}$-Spaces and Minimal$T_{FF}$-Spaces

Minimal$T_{F}$-Spaces and Minimal$T_{FF}$-Spaces

The topologies of those spaces which are minimal with respect to each of two separation axioms,$T_{F}$and$T_{FF}$, are identified. It is also shown that the axiom$T_{FF}$is Katetöv, while an example is provided to demonstrate that the axiom$T_{F}$is not.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences 1980-01, Vol.80A (1), p.93-96
Hauptverfasser: Johnston, B., McCartan, S. D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical lattices
Separation axioms
Topological properties
Topology
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Zusammenfassung:The topologies of those spaces which are minimal with respect to each of two separation axioms,$T_{F}$and$T_{FF}$, are identified. It is also shown that the axiom$T_{FF}$is Katetöv, while an example is provided to demonstrate that the axiom$T_{F}$is not.
ISSN:0035-8975