Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1242-1251
Opis fizyczny
Daty
wydano
2011-12-01
online
2011-09-23
Twórcy
autor
- Università di Messina, camfil@unime.it
autor
- Università di Messina, acatalioto@unime.it
autor
- University of Kansas, porter@math.ku.edu
Bibliografia
- [1] Cammaroto F., On P-functions, In: Meeting Top. Spaces Theory Appl., Yatsushiro, 1999, 1–10
- [2] Cammaroto F., Catalioto A., Porter J.R., On H-closed and U-closed functions (submitted)
- [3] Cammaroto F., Fedorcuk V.V., Porter J.R., H-closed functions, Comment. Math. Univ. Carolin., 1998, 39(3), 563–572
- [4] Cammaroto F., Nordo G., On Urysohn, almost regular and semiregular functions, Filomat, 1994, 8, 71–80
- [5] Engelking R., General Topology, Sigma Ser. Pure Math., 6, Heldermann, Berlin, 1989
- [6] Herrlich H., T v-Abgeschlossenheit und T v-Minimalität, Math. Z., 1965, 88(3), 285–294 http://dx.doi.org/10.1007/BF01111687
- [7] Katětov M., Über H-abgeschlossene und bikompakte Räume, Časopis Pěst. Mat. Fys., 1940, 69, 36–49
- [8] Nordo G., On product of P-functions, Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur., 1994, 72, 465–478
- [9] Pasynkov B.A., Extension to mappings of certain notions and assertions concerning spaces, In: Mappings and Functors, Moscow State University, Moscow, 1984, 72–102 (in Russian)
- [10] Porter J.R., Woods R.G., Extensions and Absolutes of Hausdorff Spaces, Springer, New York, 1988 http://dx.doi.org/10.1007/978-1-4612-3712-9
- [11] Stephenson R.M. Jr., Product of minimal Urysohn spaces, Duke Math. J., 1971, 38(4), 703–707 http://dx.doi.org/10.1215/S0012-7094-71-03885-3
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-011-0073-4