Products of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces
Oleksiy Dovgoshey, Olli Martio
TL;DR
This paper investigates the properties of Cartesian products of metric spaces, especially ultrametric spaces, and establishes conditions under which these products retain ultrametricity.
Contribution
The paper provides new characterizations of when products of ultrametric spaces are ultrametric, expanding understanding of their structure.
Findings
Conditions for products of ultrametric spaces to be ultrametric
Characterizations of ultrametric space products
Analysis of covering and packing numbers in these spaces
Abstract
We describe some Cartesian products of metric spaces and find conditions under which products of ultrametric spaces are ultrametric.
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Taxonomy
TopicsFixed Point Theorems Analysis · Meromorphic and Entire Functions · advanced mathematical theories