Homotopy
CONTINUOUS DEFORMATION BETWEEN TWO CONTINUOUS MAPS
Homotopic; Homotopy equivalent; Homotopy equivalence; Homotopy invariant; Homotopy class; Null-homotopic; Homotopy type; Nullhomotopic; Homotopy invariance; Homotopy of maps; Homotopically equivalent; Homotopic maps; Homotopy of paths; Homotopical; Homotopy classes; Null-homotopy; Null homotopy; Nullhomotopic map; Null homotopic; Relative homotopy; Homotopy retract; Continuous deformation; Relative homotopy class; Homotopy-equivalent; Homotopy extension and lifting property; Isotopy (topology); Homotopies
In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from "same, similar" and "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, ; , ) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.