2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
A remark on proper partitions of unity
Jose M. Garcia Calcines
In this paper we introduce, by means of the category of exterior spaces and using a process that generalizes the Alexandroff compactification, an analogue notion of numerable cover…
Topological complexity and the homotopy cofibre of the diagonal map
J. Calcines, L. Vandembroucq
In this paper we analyze some relationships between the topological complexity of a space and the category of the homotopy cofibre of the diagonal map $Δ_X:X\rightar…