Mathieu Baillif

collaborators

Showing math.GNShow all

3 papers · 1 filter

math.GN2025

On non-Hausdorff manifolds

Mathieu Baillif

In this long note, we investigate various purely topological aspects of non-Hausdorff manifolds (NH-manifolds for short). Our emphasis is on manifolds which exhibit homogeneity or…

math.GN2025

On (non-Menger) spaces whose closed nowhere dense subsets are Menger

Mathieu Baillif, Santi Spadaro

A space $X$ is od-Menger if it satisfies $U_{fin} (Δ_{X}, O_{X})$ , where $O_{X}, Δ_{X}$ are the collection of covers of $X$ by respectively open subsets and open…

math.GN2006

Manifolds: Hausdorffness versus homogeneity

Mathieu Baillif, Alexandre Gabard

We analyze the relationship between Hausdorffness and homogeneity in the frame of manifolds, not confined to be Hausdorff. We exhibit examples of homogeneous non-Hausdorff manifold…