3 citations · 4 across the 5 of their papers we have counts for
5 papers
A study of the Ganea conjecture for topological complexity by using weak topological complexity
Jose M. Garcia-Calcines, Lucile Vandembroucq
In this paper, we provide sufficient conditions for a space to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two auxiliary invariants: wea…
Relative category and monoidal topological complexity
J. G. Carrasquel-Vera, J. M. García Calcines, L. Vandembroucq
If a map has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of are the same. In this work we discuss…
A completion construction for continuous dynamical systems
J. M. Garcia Calcines, L. J. Hernandez Paricio, M. T. Rivas Rodriguez
In this work we construct the $\Co^{\r}$-completion and $\Co^ł$-completion of a dynamical system. If is a flow, we construct canonical maps $X\to \Co^{\r}(X)$ and $X\to \Co^ł(X…
Limit and end functors of dynamical systems via exterior spaces
J. M. Garcia Calcines, L. Hernandez Paricio, M. Teresa Rivas Rodriguez
In this paper we analyze some applications of the category of exterior spaces to the study of dynamical systems (flows). We study the notion of an absorbing open subset of a dynami…
Abstract sectional category
F. Diaz, J. Calcines, P. Garcia +2
We study, in an abstract axiomatic setting, the notion of sectional category of a morphism. From this, we unify and generalize known results about this invariant in different setti…