On minimal Hausdorff and minimal Urysohn functions

• Autorzy: Filippo Cammaroto , Andrei Catalioto , Jack Porter
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

P-function; Product function; H-closed function; U-closed function; Minimal Hausdorff function; Minimal Urysohn function; Hereditary and productive properties

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)
• 54C20: Extension of maps
• 54D25: `` P -minimal'' and `` P -closed'' spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1242-1251

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Filippo Cammaroto

• Università di Messina,

autor

Andrei Catalioto

• Università di Messina,

autor

Jack Porter

• University of Kansas,

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

Identyfikatory

DOI

10.2478/s11533-011-0073-4