3 papers
math.AT2024
The torus trick for configuration categories
Pedro Boavida de Brito, Michael S. Weiss
We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration cate…
math.AT2024
Presentations of configuration categories
Pedro Boavida de Brito, Michael S. Weiss
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration c…
math.AT2024
The configuration category of a covering space
Pedro Boavida de Brito, Michael S. Weiss
We investigate the relationship between the configuration category of a manifold and the configuration category of a covering space of that manifold.