Topological games and covering dimension
Liljana Babinkostova
TL;DR
This paper explores extending the Lebesgue covering dimension concept to infinite dimensional separable metric spaces, providing a new perspective on their topological properties.
Contribution
It introduces a natural extension of the Lebesgue covering dimension applicable to various classes of infinite dimensional separable metric spaces.
Findings
Extended the Lebesgue covering dimension to infinite dimensional spaces
Provided a framework for analyzing topological properties of these spaces
Enhanced understanding of the structure of infinite dimensional metric spaces
Abstract
We consider a natural way of extending the Lebesgue covering dimension to various classes of infinite dimensional separable metric spaces.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Topological and Geometric Data Analysis