Daniel Tanr'e

collaborators

3 papers

math.AT2026

Cone length and Lusternik-Schnirelmann category in rational homotopy

Paul-EugÃ¨ne Parent, Daniel TanrÃ©

Lusternik-Schnirelmann category (LS-category) of a topological space is the least integer $n$ such that there is a covering of $X$ by $n + 1$ open sets, each of them being contractib…

math.AT2026

Intersection homotopy, refinements and coarsenings

Martintxo Saralegi-Aranguren, Daniel TanrÃ©

In previous works, we studied intersection homotopy groups associated to a Goresky and MacPherson perversity and a filtered space. They are defined as the homotopy groups of simpli…

math.AT2025

Subspace {L}usternik-{S}chnirelmann category of quasi-projective quaternionic spaces

Let $Q_{n}$ be the quasi-projective subspace of the symplectic group $Sp (n)$ . In this short note, we prove that the subspace Lusternik-Schnirelmann category of $Q_{n}$ in $\ma…