On the density and net weight of regular spaces

Armando Romero Morales. "On the density and net weight of regular spaces." Colloquium Mathematicae 107.2 (2007): 267-272. <http://eudml.org/doc/286187>.

@article{ArmandoRomeroMorales2007,
abstract = {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.},
author = {Armando Romero Morales},
journal = {Colloquium Mathematicae},
keywords = {cardinal functions; density; net weight},
language = {eng},
number = {2},
pages = {267-272},
title = {On the density and net weight of regular spaces},
url = {http://eudml.org/doc/286187},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Armando Romero Morales
TI - On the density and net weight of regular spaces
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 2
SP - 267
EP - 272
AB - 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.
LA - eng
KW - cardinal functions; density; net weight
UR - http://eudml.org/doc/286187
ER -