TL;DR
This paper surveys how bornologies, coarse structures, and uniformities on groups interact with group operations, providing a comprehensive overview of their compatibility and applications.
Contribution
It offers a systematic analysis of the relationships between bornologies, coarse structures, and uniformities within group theory, highlighting their compatibility.
Findings
Identifies conditions for compatibility of structures with group operations
Provides a unified framework for understanding different group structures
Highlights applications in geometric group theory
Abstract
We survey and analyze different ways in which bornologies, coarse structures and uniformities on a group agree with the group operations.
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