Can I read Understanding ∞-Categories in Topology on EtoBox?
Understanding ∞-Categories in Topology by Alphabool is a document available to read on EtoBox.
What is Understanding ∞-Categories in Topology about?
An ∞-category is a generalization of the concept of a category that incorporates higher-dimensional structure. It is defined as a simplicial set that satisfies horn-filling conditions, allowing morphisms to be composed only up to homotopy. The singular complex of a topological space, which encodes homotopy information, is an example of an ∞-category. ∞-categories provide a language to describe homotopy-theoretic analogs of algebraic structures, combining elements of category theory and homotopy theory.
- Author
- Alphabool
- Language
- EN