3 papers
math.AT2024
Sectional Category and the parametrized Borsuk-Ulam property
Cesar A. Ipanaque Zapata, Daciberg L. Gonçalves
In this paper, for fibrations , over and a free involution which satisfy the equality , we discover a connection between the sectio…
math.AT2023
Transversal motion planning
Cesar A. Ipanaque Zapata, Fernando R. Chu Rivera
In this paper, we introduce the notion of transversal topological complexity (TTC) for a smooth manifold with respect to a submanifold of codimension 1 together with basic resu…
math.AG2022
On the topology of the Milnor fibration
Taciana O. Souza, Cesar A. Ipanaque Zapata
In this paper we present new results about the topology of the Milnor fibrations of analytic function-germs with a special attention to the topology of the fibers. In particular, w…