Abstract
This note presents a short proof of an internal characterization of complete regularity.
Communicated by Ľubica Holá
Acknowledgement
The authors wish to thank the anonymous referee for valuable suggestions and careful reading of the paper.
References
[1] Brandenburg, H.—Mysior, A.: Short proof of an internal characterization of complete regularity, Canad. Math. Bull. 27(4) (1984), 461–462.10.4153/CMB-1984-072-7Search in Google Scholar
[2] Engelking, R.: General Topology, 2nd ed., Berlin: Heldermann, 1989.Search in Google Scholar
[3] Frink, O.: Compactifications and semi-normal spaces, Amer. J. Math. 86 (1964), 602–607.10.2307/2373025Search in Google Scholar
[4] Kerstan, J.: Eine Charakterisierung der vollständig regulären Räume, Math. Nachr. 17 (1958), 27–46.10.1002/mana.19580170107Search in Google Scholar
[5] Kucharski, A.—Plewik, Sz.: Inverse systems andI-favorable spaces, Topology Appl. 156(1) (2008), 110–116.10.1016/j.topol.2007.12.016Search in Google Scholar
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