homotopy


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Related to homotopy: Homotopy groups, Homotopy theory

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 ?
An Illustrated Introduction to Topology and Homotopy" by academician and mathematician Sasho Kalajdzievski (University of Manitoba, Winnipeg, Canada) is a 485 page textbook that has as its specific focus topology and homotopy theory and applications.
In this work, we applied the discrete homotopy analysis method to obtain the numerical solutions of fuzzy differential equations, and we compared the results with the exact solutions to show the accuracy of the method.
Then K is homotopy equivalent to the order complex [DELTA](P).
Schori, Topological classification of infinite-dimensional manifolds by homotopy type, Bull.
In this paper, we will suggest an approach to the search for an explicit analytic solution for the initial value problem consists of (1) and equipped with initial conditions (2) by homotopy analysis method (HAM).
Homotopy theory of function spaces and related topics; proceedings.
To this end, we recall the integration of one-forms by the homotopy formula.
In the context of Algebraic Topology, an analogous notion to the one of size function has been developed under the name of size homotopy group (Frosini and Mulazzani, 1999).
Let us define the homotopy H : [0,1] x U [right arrow] [R.