The branch of algebraic topology which deals with homotopy groups. Homotopy methods can be used to solve systems of polynomials by embedding the polynomials in a family of systems that define the deformation of the original problem into a simpler one whose solutions are known.
Homotopy Theory
See also
Algebraic Topology, Homotopic, Homotopy, Homotopy GroupExplore with Wolfram|Alpha
References
Aubry, M. Homotopy Theory and Models. Boston, MA: Birkhäuser, 1995.Referenced on Wolfram|Alpha
Homotopy TheoryCite this as:
Weisstein, Eric W. "Homotopy Theory." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomotopyTheory.html