Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 3, Pages 57–60 (Mi vmumm34)  
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The Lindelöff number functional spaces over monolithic compacta

D. P. Baturova, E. A. Reznichenkob

a Orel State University
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Let $X$ be a compactum, $\tau$ be an infinite cardinal, and $t(X)\le\tau$. In this case, $l(C_p(X))\le 2^\tau$. If $X$ is $\tau$-monolithic, then $l(C_p(X))\le \tau^+$. In addition, if $X$ is zero-dimensional and there are no $\tau ^+$-Aronszajn trees, then $l(C_p(X))\le \tau$.
Key words: function space, Lindelöf number, tightness, monolithic compactum, Aronszajn tree.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05369
Received: 14.12.2016
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 3, Pages 116–119
DOI: https://doi.org/10.3103/S0027132218030063
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: D. P. Baturov, E. A. Reznichenko, “The Lindelöff number functional spaces over monolithic compacta”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3, 57–60; Moscow University Mathematics Bulletin, 73:3 (2018), 116–119
Citation in format AMSBIB
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