homotopy

(redirected from Homotopical)

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
(Homotopical existence) Suppose that X is compact and Y is a Hausdorff space.
Ultimately, he gives a homotopical interpretation of a deep relationship between operads and Grothendieck-TeichmEller groups.
Its homotopical tools should be similarly non-reversible, and homotopy constructions occur here in a directed version, which gives rise to new "shapes" with elegance that is strengthened by the fact that such constructions are determined by universal properties.
Brasselet (mathematics, Institut de Mathematiques de Luminy-CNRS, France), Cisneros-Molina (mathematics, UNAM, Mexico), Massey (mathematics, Northeastern U.), Seade (mathematics, UNAM, Mexico) and Teissier (Institut Mathematique de Jussieu, Paris) have edited these papers on such subjects as the Join Theorem for polar weighted homogenous singularities, homotopical variation and Jacobian curves for normal complex surfaces.
The homotopical totalization of a cosimplicial space [X.sup.*],
Homotopical Algebra, Lecture Notes in Math, 43, Springer, 1967.