Definitions

1. noun

A relation between topological spaces, defined by a continuous family of continuous maps from one space to another, used in topology and algebraic topology.

“The mathematician studied the concept of homotopy to understand the properties of the given topological space.”

2. noun

A type of deformation or continuous transformation between two spaces, often used to compare their properties.

“The researchers used homotopy to analyze the changes in the shape of the molecule over time.”