6 citations · 13 across the 19 of their papers we have counts for
5 papers · 2 filters
Topological Complexity of wedges
Cesar A. Ipanaque Zapata
We prove the formula \begin{equation*} TC(X\vee Y)=\max\{TC(X),TC(Y),cat(X\times Y)\} \end{equation*} for the topological complexity of the wedge .
Category and Topological Complexity of the configuration space
Cesar A. Ipanaque Zapata
The Lusternik-Schnirelmann category cat and topological complexity TC are related homotopy invariants. The topological complexity TC has applications to the robot motion planning p…
Collision-free motion planning on manifolds with boundary
Cesar A. Ipanaque Zapata
This paper concerns the study of the homotopy type of the ordered configuration space for manifolds with boundary and as an application we will study the collision free motion plan…
Non-contractible configuration spaces
Cesar Augusto Ipanaque Zapata
Let be the configuration space of ordered tuples of distinct points in the manifold . Using the Fadell-Neuwirth fibration, we prove that the configuration spaces $F…
Lusternik-Schnirelmann category of the configuration space of complex projective space
Cesar A. Ipanaque Zapata
The Lusternik-Schnirelmann category is a homotopy invariant which is a numerical bound on the number of critical points of a smooth function on a manifold. Another similar…