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On the density and net weight of regular spaces

Armando Romero Morales — 2007

Colloquium Mathematicae

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 ) π χ ( X ) a c ( X ) for every regular space X. This generalizes the following result due to Shapirovskiĭ: d ( X ) π χ ( X ) c ( X ) for every regular space X.

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