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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 2, Pages 102–111
(Mi basm292)
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This article is cited in 1 scientific paper (total in 1 paper)
On Wallman compactifications of $T_0$-spaces and related questions
L. I. Calmuţchi, M. M. Choban Department of Mathematics, Tiraspol State University, Chişinău, Moldova
Abstract:
We study the compactification of the Wallman–Shanin type of $T_0$-spaces. We have introduced the notion of compressed compactification and proved that any compressed compactification is of the Wallman–Shanin type. The problem of the validity of the equality $\omega(X\times Y)=\omega X\times\omega Y$ is examined. Two open questions have arisen.
Keywords and phrases:
compactification, ring of sets, sequential character.
Received: 27.07.2011
Citation:
L. I. Calmuţchi, M. M. Choban, “On Wallman compactifications of $T_0$-spaces and related questions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2, 102–111
Linking options:
https://www.mathnet.ru/eng/basm292 https://www.mathnet.ru/eng/basm/y2011/i2/p102
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Abstract page: | 284 | Full-text PDF : | 65 | References: | 68 | First page: | 1 |
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