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, a homotopy
is constructed in the following form:
perturbation method for bifurcation of nonlinear problems, Int.
Then K is homotopy
equivalent to the order complex [DELTA](P).
Schori, Topological classification of infinite-dimensional manifolds by homotopy
methods (He, 2003), collocation-type methods (Gotovac et al.
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).
theory of function spaces and related topics; proceedings.
To this end, we recall the integration of one-forms by the homotopy
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.