# 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 ?
After an an overview of the Elliott program; he covers homomorphisms from subhomogeneous C*-algebras to finite dimensional C*-algebras, the stable version of the basic homotopy lemma, a concrete version of the Bott map, a version of the basic homotopy lemma in finite dimensional C*-algebras, the notation of gTR(A)&lt;=1, the classification of C*-algebras with gTR(A)&lt;=1, the basic homotopy lemma in C*-algebras with gTR(A)&lt;=1, a theorem concerning how to lift KK-elements to homomorphisms, the notation of asymptotic unitary equivalence, and some current developments in the Elliott program (without full proofs).
Homotopic routing aims to find routing paths of a specific homotopy type, to improve load balancing and routing resilience.
In this paper, we combine a homotopy perturbation inversion method with a sparsity regularization method, in order to improve the accuracy and stability.
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.
Liao edits this research volume on applications of the homotopy analysis method (HAM) in nonlinear problems, particularly where other common approaches such as perturbation methods may not be appropriate.
mass and momentum conservation equations, are transformed using the similarity transformations to a nonlinear ordinary differential equation (ODE), and then the resulting ODE is solved using the homotopy perturbation method (HPM).
Homotopy Analysis Solutions for the Asymmetric Laminar Flow in a Porous Channel with Expanding or Contracting Walls.
El-Shahed: Application of Hes homotopy perturbation method to Volterras integro-differential equation, Int.
Here, we use alternative approach to solve (2) based on homotopy perturbation method (HPM).

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