P. Chocano

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math.AT2025

Matrix Invariants as Homotopy Invariants in Finite $T_{0}$ -spaces

Pedro J. Chocano

We establish a bijection between the set of finite topological $T_{0}$ -spaces (or partially ordered sets) and equivalence classes of square matrices. The absolute value of the determ…

math.AT2025

Every group retraction can be realized as a topological retraction

Pedro J. Chocano

Given a group retraction $r : G \to H$ , we construct a finite topological space $X_{r}$ of height 1, together with a topological retraction $\overline{r}: X_r \rightarrow X…

Matrix Invariants as Homotopy Invariants in Finite T0​-spaces

Every group retraction can be realized as a topological retraction

Matrix Invariants as Homotopy Invariants in Finite $T_{0}$ -spaces