3 papers
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 is od-Menger if it satisfies , where are the collection of covers of 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…