Homotopy Theory

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.

See also

Algebraic Topology, Homotopic, Homotopy, Homotopy Group

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

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Homotopy Theory

Cite this as:

Weisstein, Eric W. "Homotopy Theory." From MathWorld--A Wolfram Web Resource.

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