On the density and net weight of regular spaces
Armando Romero Morales
Colloquium Mathematicae, Tome 107 (2007), p. 267-272 / Harvested from The Polish Digital Mathematics Library
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We use the cardinal functions ac and lc, due to Fedeli, to establish bounds on the density and net weight of regular spaces which improve some well known bounds. In particular, we use the language of elementary submodels to establish that d(X)≤πχ(X)ac(X) for every regular space X. This generalizes the following result due to Shapirovskiĭ: d(X)≤πχ(X)c(X) for every regular space X.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:286187 
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Armando Romero Morales. On the density and net weight of regular spaces. Colloquium Mathematicae, Tome 107 (2007) pp. 267-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-2-6/