Homotopy invariants in small categories

I. Carcacía-Campos, E. Macías-Virgós, D. Mosquera-Lois

Tanaka introduced a notion of Lusternik Schnirelmann category, denoted $\mathrm{ccat}\mathcal{C}$, of a small category $\mathcal{C}$. Among other properties, he proved an analog…