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This article is cited in 8 scientific papers (total in 8 papers)
Nonincrease of Density and Weak Density under Weakly Normal Functors
R. B. Beshimov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract:
In this paper, it is proved that if a covariant functor $\mathscr F\colon\mathrm{Comp}\to\mathrm{Comp}$ is weakly normal, then $d(\mathscr F^\beta(X))\le d(X)$ and $wd(\mathscr F^\beta(X))\le wd(X)$ for any infinite Tychonoff space $X$.
Keywords:
normal functor, weakly normal functor, density, weak density, Hausdorff space, cellularity of a space, Tychonoff space, Stone–Čech compactification.
Received: 04.05.2007 Revised: 21.12.2007
Citation:
R. B. Beshimov, “Nonincrease of Density and Weak Density under Weakly Normal Functors”, Mat. Zametki, 84:4 (2008), 527–531; Math. Notes, 84:4 (2008), 493–497
Linking options:
https://www.mathnet.ru/eng/mzm6136https://doi.org/10.4213/mzm6136 https://www.mathnet.ru/eng/mzm/v84/i4/p527
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Abstract page: | 372 | Full-text PDF : | 186 | References: | 45 | First page: | 1 |
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