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 Group## Explore with Wolfram|Alpha

## References

Aubry, M.*Homotopy Theory and Models.*Boston, MA: Birkhäuser, 1995.

## Referenced on Wolfram|Alpha

Homotopy Theory## Cite this as:

Weisstein, Eric W. "Homotopy Theory."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/HomotopyTheory.html