homotopy

(redirected from Homotopy invariance)

homotopy

[hō′mäd·ə·pē]
(mathematics)
Between two mappings of the same topological spaces, a continuous function representing how, in a step-by-step fashion, the image of one mapping can be continuously deformed onto the image of the other.
References in periodicals archive ?
Consequently, by the homotopy invariance property of the Brouwer degree, we obtain that
Thus, by the degree property of homotopy invariance, we obtain
The 26 research and review papers here cover such topics as cohomological aspects of torus actions, miraculous cancellations and Pick's theorem, weighted hyperprojective spaces and homotopy invariance in orbifold cohomology, the invariance property of orbifold elliptic genus for multi-fans, tropical toric geometry, graphs of two-torus actions, categorical aspects of toric topology, permutation actions on equivalent cohomology of flag varieties, asymptotic partition functions for root systems and the K-theory of torus manifolds.