Whitney conditions

The Whitney conditions refer to certain criteria in differential topology, specifically regarding the behavior of certain mappings and the properties of manifolds. There are two primary types of Whitney conditions: the Whitney condition for embeddings and the Whitney condition for stratifications of topological spaces. 1. **Whitney Condition for Embeddings:** This condition is concerned with the behavior of smooth maps between manifolds. Specifically, it provides conditions under which a smooth map between manifolds is an embedding.