Geodesic
Short Proof of an Internal Characterization of Complete Regularity
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 461-462

Voir la notice de l'article provenant de la source Cambridge University Press

A short proof is given of an internal characterization of completely regular spaces due to J. Kerstan.
DOI : 10.4153/CMB-1984-072-7
Mots-clés : 54D15, Completely regular space, completely regular family of sets, cozero-set 
Brandenburg, Harald; Mysior, Adam. Short Proof of an Internal Characterization of Complete Regularity. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 461-462. doi: 10.4153/CMB-1984-072-7
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[1] 1. Alexandroff, A. D., Additive set functions in abstract spaces, Math. Sbornik 50, (1940), 307-348; 51 (1941), 563-628; 55, (1943) 169-238. Google Scholar

[2] 2. Frink, O., Compactifications and semi-normal spaces, Amer. J. Math. 86, (1964), 602-607. Google Scholar | DOI

[3] 3. Gillman, L. and Jerison, M., Rings of continuous functions, Van Nostrand Reinhold Company, New York et al, 1960.10.1007/978-1-4615-7819-2 Google Scholar | DOI

[4] 4. deGroot, J. and Aarts, J. M., Complete regularity as a separation axiom, Canad. J. Math. 21, (1969), 96-105. Google Scholar | DOI

[5] 5. Hamburger, P., Complete regularity as a separation axiom, Periodica Math. Hungar. 4, 39-44 (1973).10.1007/BF02018035 Google Scholar | DOI

[6] 6. Johnson, D. G. and Mandelker, M., Separating chains in topological spaces, J. London Math. Soc. (2) 4 (1971/72), 510-512. Google Scholar

[7] 7. Kerstan, J., Eine Charakterisierung der vollstàndig regulàren Raurne, Math. Nachrichten 17 (1958), 27-46.10.1002/mana.19580170107 Google Scholar | DOI

[8] 8. Reynolds, G., Alexandroff algebras and complete regularity, Proc. Amer. Math. Soc. 76 (1979), 322-326.10.1090/S0002-9939-1979-0537098-5 Google Scholar | DOI

[9] 9. Steiner, E. F., Normal families and completely regular spaces, Duke Math. J. 33 (1966), 743-746.10.1215/S0012-7094-66-03389-8 Google Scholar | DOI

[10] 10. Zaicev, V. I., On the theory of Tychonoff spaces, Vest. Mosc. Univ. Math. Mech. (1967), 48-57. Google Scholar

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