We give examples of $ n $-sequentially compact spaces that are not $(n+ 1) $-sequentially
compact under several assumptions. We improve results from Kubis and Szeptycki by …

In this note we study generic existence of maximal almost disjoint (MAD) families. Among
other results we prove that Cohen-indestructible families exist generically if and only if b= c …

Splitting Families and Complete Separability Page 1 Canad. Math. Bull. Vol. 57 (1), 2014 pp.
119–124 http://dx.doi.org/10.4153/CMB-2013-027-2 c Canadian Mathematical Society 2013 …

We study the relationship between α i properties and strong Fréchet-like properties in Ψ-
spaces associated to almost disjoint families. In particular, we prove that under some mild …

We study some strong combinatorial properties of $\textsf {MAD} $ families. An ideal
$\mathcal {I} $ is Shelah-Stepr\={a} ns if for every set $ X\subseteq {\left [\omega\right]}^{< …

We introduce a new class of almost disjoint families which we call fin-intersecting almost
disjoint families. They are related to almost disjoint families whose Vietoris Hyperspace of …

INVARIANCE PROPERTIES OF ALMOST DISJOINT FAMILIES §1. Introduction. We consider
two kinds of closely related mathematical struc Page 1 The Journal of Symbolic Logic Volume …

We continue with the study of the Katětov order on MAD families. We prove that Katětov
maximal MAD families exist under This improves previously known results from the …

ЬР Ъ СЫ +ЙЪ ХЫ Х ХСФ Page 1 СЫЪ Ф ТЧЭЪЦ Ф Ч Х ЬР Х ЬС Ы ОО ДОМН ЕИ П П Н
ЧС НМКНММ ЛзНН ЙМН ЙН М Й ЬР Ъ СЫ +ЙЪ ХЫ Х ХСФ Чзк а г йоб в∗ д жиб ви г Х и б …

An infinite family. A<:;;;[wt is called almost disjoint (or AD for short) 1 if the intersection of any
two of its elements is finite. An AD family is called MAD if it is maximal with this property …