Remarks on cardinal inequalities in convergence spaces

Yoshitomi, Kazushi. "Remarks on cardinal inequalities in convergence spaces." Mathematica Bohemica 146.2 (2021): 215-227. <http://eudml.org/doc/297707>.

@article{Yoshitomi2021,
abstract = {We extend the Noble and Ulmer theorem and the Juhász and Hajnal theorems in set-theoretic topology. We show that a statement analogous to that in the former theorem is valid for a family of almost topological convergences, whereas statements analogous to those in the latter theorems hold for a pretopologically Hausdorff convergence.},
author = {Yoshitomi, Kazushi},
journal = {Mathematica Bohemica},
keywords = {convergence space; cardinal function; inequality; set-theoretic topology},
language = {eng},
number = {2},
pages = {215-227},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remarks on cardinal inequalities in convergence spaces},
url = {http://eudml.org/doc/297707},
volume = {146},
year = {2021},
}

TY - JOUR
AU - Yoshitomi, Kazushi
TI - Remarks on cardinal inequalities in convergence spaces
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 2
SP - 215
EP - 227
AB - We extend the Noble and Ulmer theorem and the Juhász and Hajnal theorems in set-theoretic topology. We show that a statement analogous to that in the former theorem is valid for a family of almost topological convergences, whereas statements analogous to those in the latter theorems hold for a pretopologically Hausdorff convergence.
LA - eng
KW - convergence space; cardinal function; inequality; set-theoretic topology
UR - http://eudml.org/doc/297707
ER -