An ideal on a set X is a collection of subsets of X closed under the operations of taking finite
unions and subsets of its elements. Ideals are a very useful notion in topology and set theory …

IDEAL CONVERGENCE VERSUS MATRIX SUMMABILITY 1. Introduction The problem of
examining the relationship between ideal convergence Page 1 IDEAL CONVERGENCE …

New Hindman spaces Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 150, Number 2, February 2022, Pages 891–902 https://doi.org/10.1090/proc/15720 …

For many years, there have been conducting research (eg, by Bergelson, Furstenberg,
Kojman, Kubiś, Shelah, Szeptycki, Weiss) into sequentially compact spaces that are, in a …

Let $ X $ be an uncountable Polish space and let $\mathcal {I} $ be an ideal on $\omega $.
A point $\eta\in X $ is an $\mathcal {I} $-limit point of a sequence $(x_n) $ taking values in …

In this paper we study a new ideal WR. The main result is the following: an ideal is not
weakly Ramsey if and only if it is above WR in the Katětov order. Weak Ramseyness was …

Our main object of interest is the following notion: we say that a topological space space $ X
$ is in FinBW ($\mathcal {I} $), where $\mathcal {I} $ is an ideal on $\omega $, if for each …

This paper studies a variant of the contest model introduced in Seel and Strack J. Econom.
Theory 148 (2013) 2033–2048. In the Seel–Strack contest, each agent or contestant …

On Hindman spaces and the Bolzano–Weierstrass property - ScienceDirect Skip to main
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We consider four classes of topological spaces which are defined with the aid of
convergence with respect to ideals on N. All these classes are subclasses of countably …