Discrete Localities I
Andy Chermak, Alex Gonzalez

TL;DR
This paper introduces a new theoretical framework called discrete localities, extending the concept of p-local compact groups to provide a broader mathematical structure.
Contribution
It develops the foundational theory of discrete localities, generalizing existing p-local compact groups, and sets the stage for subsequent parts of the series.
Findings
Defines the concept of discrete localities
Establishes basic properties and structures
Lays groundwork for future theoretical developments
Abstract
This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver.
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Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Advanced Operator Algebra Research
