Geodesic
On the density and net weight of regular spaces
Armando Romero Morales1
1 Facultad de Ciencias Físico-Matemáticas Universidad Autónoma de Puebla Puebla, México
Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 267-272.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $d(X)\leq \pi \chi (X)^{ac(X)}$ for every regular space $X$. This generalizes the following result due to Shapirovskiĭ: $d(X)\leq \pi \chi (X)^{c(X)}$ for every regular space $X$.
DOI : 10.4064/cm107-2-6
Keywords: cardinal functions due fedeli establish bounds density net weight regular spaces which improve known bounds particular language elementary submodels establish leq chi every regular space nbsp generalizes following result due shapirovski leq chi every regular space nbsp

Armando Romero Morales 1

1 Facultad de Ciencias Físico-Matemáticas Universidad Autónoma de Puebla Puebla, México 
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Armando Romero Morales. On the density and net weight of regular spaces. Colloquium Mathematicum, Tome 107 (2007) no. 2, pp. 267-272. doi : 10.4064/cm107-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm107-2-6/

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