Density and capacity of balleans generated by filters

• Date: 2021
• Main Authors: Brzeska, A., brzeska, anna
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/648
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.51 We consider a ballean $\mathbb B=(X,P,B)$ with an infinite support $X$ and a free filter $\phi$ on $X$ and define $B_{P\times\phi}(x,(\alpha,F))$ for every $\alpha\in P$ and $F\in \phi.$ The ballean $(X,P\times\phi, B_{P\times\phi})$ will be called the ballean-filter mix of $\mathbb B$ an...