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Matematicheskie Zametki, 2008, Volume 84, Issue 4, Pages 527–531
DOI: https://doi.org/10.4213/mzm6136 (Mi mzm6136) 		 
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
Full-text PDF (413 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm6136
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
English version:
Mathematical Notes, 2008, Volume 84, Issue 4, Pages 493–497
DOI: https://doi.org/10.1134/S0001434608090216
Bibliographic databases:
UDC: 515.17
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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