Open AccessRemarks on cardinal inequalities in convergence spaces
Author(s) -
Kazushi Yoshitomi
Publication year - 2020
Publication title -
mathematica bohemica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 11
eISSN - 2464-7136
pISSN - 0862-7959
DOI - 10.21136/mb.2020.0090-19
Subject(s) - convergence (economics) , mathematics , inequality , pure mathematics , mathematical economics , sociology , calculus (dental) , mathematical analysis , economics , medicine , economic growth , dentistry
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom