Homotopy

Pronunciation: /ˈhoʊmoʊˈtɑpˈwaɪ/

Homotopy (noun)

  1. A continuous transformation of one shape into another without tearing or gluing.
  2. A concept in topology studying properties of spaces that can be continuously deformed.

Examples

  • The homotopy between the two shapes was smooth and continuous.
  • A homotopy can transform a circle into an ellipse.

Common collocations: continuous homotopy, homotopy transformation, homotopy theory, homotopy group, homotopy equivalence

Synonyms of Homotopy

Formal