Metrizing the Chabauty topology
Ian Biringer
TL;DR
This paper introduces an explicit metric that induces the Chabauty topology on the space of closed subsets of a proper metric space, facilitating more concrete analysis of this topological structure.
Contribution
The paper provides a new explicit metric for the Chabauty topology, making it easier to work with in practical applications.
Findings
An explicit metric for the Chabauty topology is constructed.
The metric induces the Chabauty topology on the space of closed subsets.
This approach simplifies analysis of closed sets in proper metric spaces.
Abstract
We describe an explicit metric that induces the Chabauty topology on the space of closed subsets of a proper metric space M.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Geometric and Algebraic Topology