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2002, br. 6, str. 9-19
A note on weakly separable spaces
(naslov ne postoji na srpskom)
Tashkent State Pedagogical Institute, Nizami Tashkent, Uzbekistan
Ključne reči: weakly separable space; compact space; hyperspace; function space
Sažetak
(ne postoji na srpskom)
We study the notion of a weak separable space. Some counterexamples, which show a strictness of previous results of the author, are given. The weak separability of hyperspaces and function spaces is investigated.
Reference
Arhangelskii, A.V. (1965) On one class of spaces containing all metric and all locally compact spaces. Matem. Sbornik, 67:1, 55-85
Beshimov, R.B. (1994) Some properties of weakly separable spaces. Uzbek. Math. Journ., 1, 7-11
Beshimov, R.B. (1994) A weakly separable space and separability. Doklady Uzbek. Akad. Nauk, 3, 10-12, in Russian
Beshimov, R.B. (1994) Covariant functors and weak separability. Doklady Uzbek. Akad. Nauk, 7, 9-11, in Russian
Beshimov, R.B. (1997) Weakly separable spaces and their separable compactifications. Doklady Uzbek. Akad. Nauk, 1, 15-18, in Russian
Comfort, W.W. (1963) An example in density character. Arch. Math. (Basel), 14, 422-423
Corson, H.H. (1959) Normality in subsets of product spaces. Amer. J. Math., 81, 785-796
Engelking, R. (1977) General topology. Warszawa: Polish Scientific Publisher
Michael, E. (1951) Topologies on spaces of subsets. Trans. Amer. Math. Soc., 71, 152-182
Noble, N. (1974) The density character of function spaces. Proc. Amer. Math. Soc., 42, 228-233
Pontryagin, L.S. (1938) Continuous groups. Moscow
Shanin, N.A. (1948) On the product of topological spaces. Moscow: Trudy Steklov Inst, 24
van Douwen, E.K. (1977) Density of compactifications. u: Set-theoretic Topology, New York-San Diego, itd: Academic Press, 97-110
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor0206009B
objavljen u SCIndeksu: 02.06.2007.

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