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math.AT2026
Motion planning and topological complexity for diagrams of spaces
Isaac Carcacía-Campos
A diagram of spaces describes a system of interacting state spaces. Motion planning in such a system is not merely an objectwise problem since the selected paths must form a natura…
math.AT2022
Homotopy invariants in small categories
I. Carcacía-Campos, E. Macías-Virgós, D. Mosquera-Lois
Tanaka introduced a notion of Lusternik Schnirelmann category, denoted , of a small category . Among other properties, he proved an analog…