1 citations · 1 across the 5 of their papers we have counts for
5 papers
Category of a map and nonlinear analysis
Cesar A. Ipanaque Zapata
A classic problem in analysis is to solve nonlinear equations of the form \begin{equation*} F(x)=0, \end{equation*} where is a continuous map of the closed…
Introducción a la teoría de complejidad topológica
Cesar A. Ipanaque Zapata, Rodolfo J. Gálvez Pérez
In this work we will review the notion of topological complexity, introduced by Michael Farber in 2003. We will use this theory of topological complexity to solve the motion planni…
Parametrised collision-free optimal motion planning algorithms in Euclidean spaces
Cesar A. Ipanaque Zapata, Jesús González
We describe parametrised motion planning algorithms for systems controlling objects represented by points that move without collisions in an even dimensional Euclidean space and in…
Configuration sets for groups
Cesar A. Ipanaque Zapata, Alex Freitas de Campos
We develop practical tools for analyzing the configuration set of distinct elements in a group . We apply our results to design homogeneous linear systems in…
Equivariant category and Topological complexity of wedges
Cesar A Ipanaque Zapata, Denise de Mattos
We prove the formula \begin{equation*} \text{cat}_G(X\vee Y)=\max\{\text{cat}_G(X),\text{cat}_G(Y)\} \end{equation*} for the equivariant category of the wedge . As a direc…