What is holotopy?

Answer 1

Holotopy is a concept in the field of topology, specifically in relation to homotopy theory. It refers to a type of continuous deformation between two continuous maps, typically defined between topological spaces. In holotopy, a homotopy between two functions can be thought of as a "path" connecting them within a larger space, allowing for the study of their properties and behaviors in a continuous manner. This concept is crucial for understanding equivalences and transformations in algebraic topology.