Selection principles and countable dimension
Liljana Babinkostova, Marion Scheepers
TL;DR
This paper introduces a game-theoretic approach to characterize countable and strong countable dimensionality in topological spaces, providing new insights into their structural properties.
Contribution
It presents a novel game-based characterization of countable dimensionality and strong countable dimensionality, advancing understanding of these concepts in topology.
Findings
Countable dimensionality characterized via infinite game
Strong countable dimensionality characterized via infinite game
Provides a new framework for analyzing topological dimension
Abstract
We characterize countable dimensionality and strong countable dimensionality by means of an infinite game.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Economic theories and models