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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…