Topological embeddings of disks via configuration categories
Pedro Boavida de Brito, Michael S. Weiss
TL;DR
This paper explores how the functor assigning a manifold to its configuration category can be fully faithful in certain cases, revealing deep connections between topology and category theory.
Contribution
It introduces conditions under which the functor from manifolds to configuration categories is fully faithful, advancing understanding of topological embeddings.
Findings
Identification of cases with full faithfulness
Enhanced understanding of configuration categories
Connections between topology and category theory
Abstract
The functor that takes a manifold to its configuration category exhibits a type of full faithfulness in some cases.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Mathematical Dynamics and Fractals