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2000, br. 4, str. 75-82
Some properties of spaces similar to Čech-complete property
(naslov ne postoji na srpskom)
Viša hemijsko-tehnološka škola, Šabac
Ključne reči: extensions of spaces; reminders; completions
Sažetak
(ne postoji na srpskom)
In this paper we study some notions related to the remainder X*βX\β (X) which are similar to the Čech-complete property. A topological space X is P ((ωP)-complete if X is a Tychonoff space and reminder X*_ = βX\βX is a P (ωP) - set in βX. The set A C X is an L-set if A ∩ clX(F) = Ø for each Lindelöf subset F contained in X\A. Recall that a space X is said to be L-complete if X is a Tychonoff space and the reminder X*= βX\β(X) is an L-set in βX.
Reference
Arkhangelskii, A.V., Ponomarev, V.I. (1974) Osnovy obshei topologii v zadachakh i uprazhneniyakh. Moskva: Nauka
Bourbaki, N. (1965) Topologie générale. u: Actualites Sci Ind., Paris: Hermann, 4th ed., br. 1142
Engelking, R. (1977) General topology. Warszawa: Polish Scientific Publisher
Keesling, J. (1970) Normality and properties related to compactness in hyperspaces. Proc. Amer. Math. Soc, 24, 760-766
Kelley, J.L. (1957) General topology. New York, itd: Van Nostrand
Milovančević, D. (1997) ΣC-ultrafilters, P-point and HCC property. Filomat, 11, 33-40
Milovančević, D. (1985) A property between compact and strongly countably compact. Publications de l'Institut mathematique, 38, 193-201
Milovančević, D. (1987) P-tochki, slabye P-tochki i nekotorye obobshcheniya bikompaktnosti / P-points, weak P-points and some generalizations of compactness. Matematički Vesnik, 39, 431-440
Walker, R.C. (1974) The Stone-Čech compactification. Berlin, itd: Springer Verlag
 

O članku

jezik rada: engleski
vrsta rada: članak
DOI: 10.5937/MatMor0004075M
objavljen u SCIndeksu: 05.05.2008.

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