A bounded coarse structure for families of pseudometrics
Jes\'us P. Moreno-Damas
TL;DR
This paper introduces a bounded coarse structure based on families of pseudometrics and explores its properties through counterexamples to common conjectures.
Contribution
It defines a new bounded coarse structure for pseudometric families and challenges existing conjectures with counterexamples.
Findings
Counterexamples to natural conjectures about bounded coarse structures
New definition of bounded coarse structure for pseudometric families
Insights into the limitations of existing theories
Abstract
We define the bounded coarse structure attached to a family of pseudometrics and give some counterexamples to conjectures that arise naturally.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Random Matrices and Applications · Advanced Topology and Set Theory