The homotopy theory of equivalence relations
Finnur Larusson
TL;DR
This paper explores the homotopy theory of equivalence relations, providing a detailed exposition of this fundamental example of a model structure in category theory.
Contribution
It offers a comprehensive analysis of the homotopy theory specific to equivalence relations, illustrating core concepts with a simple yet nontrivial example.
Findings
Clarifies the structure of homotopy theory for equivalence relations
Demonstrates the model structure in a fundamental setting
Provides insights applicable to broader homotopical contexts
Abstract
We give a detailed exposition of the homotopy theory of equivalence relations, perhaps the simplest nontrivial example of a model structure.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra