3 papers
math.AT2026
Bivariate topological complexity: a framework for coordinated motion planning
Jose Manuel Garcia Calcines, Jose Antonio Vilches Alarcon
We introduce a bivariate version of topological complexity, , associated with two continuous maps and . This invariant measures t…
math.AT2024
Relative sectional category revisited
Jose Manuel Garcia Calcines
The concept of relative sectional category expands upon classical sectional category theory by incorporating the pullback of a fibration along a map. Our paper aims not only to exp…
math.CO2023
Semi-simplicial combinatorics of cyclinders and subdivisions
Jose Manuel Garcia Calcines, Luis Javier Hernandez Paricio, Maria Teresa Rivas Rodriguez
In this work, we analyze the combinatorial properties of cylinders and subdivisions of augmented semi-simplicial sets. These constructions are obtained as particular cases of a cer…