On the density and net weight of regular spaces

• Autorzy: Armando Romero Morales
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 2
• Strony: 267-272

Daty

wydano

2007

Twórcy

autor

Armando Romero Morales

• Facultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Puebla, Puebla, México

Identyfikatory

DOI

10.4064/cm107-2-6