Selective Games on Binary Relations

TL;DR

This paper introduces a unified framework using dominating families in binary relations to analyze topological properties through selection principles and related games.

Contribution

It provides a novel unified approach to study topological properties via dominating families in binary relations, connecting selection principles and game theory.

Findings

Unified approach simplifies analysis of topological properties

Connects selection principles with game-theoretic methods

Provides new insights into the structure of topological properties

Abstract

We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.