Definitions

1. adjective

relating to or denoting a relation between topological spaces that can be transformed into each other by a continuous deformation

“The mathematician studied the homotopic properties of the torus.”

2. noun

a relation between topological spaces that can be transformed into each other by a continuous deformation

“The homotopic relations between the two spaces were crucial to the proof.”

3. verb

to transform or deform a topological space into another through a continuous process

“The algorithm homotopically transformed the input space into a simpler form.”