Simplicial localization

Simplicial localization is a concept from algebraic topology and category theory that is concerned with the process of localizing simplicial sets or simplicial categories. The process is usually aimed at constructing a new simplicial set that reflects the homotopical or categorical properties of the original set while allowing one to "invert" certain morphisms or objects. ### Background Concepts 1. **Simplicial Sets:** A simplicial set is a combinatorial structure that encodes topological information.