12 citations · 25 across the 9 of their papers we have counts for
7 papers · 1 filter
Foliations on non-metrisable manifolds II: contrasted behaviours
Mathieu Baillif, Alexandre Gabard, David Gauld
This paper, which is an outgrowth of a previous paper of the authors, continues the study of dimension 1 foliations on non-metrisable manifolds emphasising some anomalous behaviour…
Selections, games and metrisability of manifolds
David Gauld
In this note we relate some selection principles to metrisability and separability of a manifold. In particular we show that , $\sf{S}_{fin}(Ω,…
Exotic Differential Structures in Dimension 2
Sunanda Dikshit, David Gauld
It is known that the long line supports many non-diffeomorphic differential structures. We show that the long plane supports a similar number of exotic differential…
Jordan and Schoenflies in non-metrical analysis situs
Alexandre Gabard, David Gauld
We show that both, the Jordan curve theorem and the Schoenflies theorem extend to non-metric manifolds (at least in the two-dimensional context), and conclude by some dynamical app…
Foliations on non-metrisable manifolds: absorption by a Cantor black hole
Mathieu Baillif, Alexandre Gabard, David Gauld
We investigate contrasting behaviours emerging when studying foliations on non-metrisable manifolds. It is shown that Kneser's pathology of a manifold foliated by a single leaf can…
Homeomorphisms of Bagpipes
David Gauld
We investigate the mapping class group of an orientable -bounded surface. Such a surface splits, by Nyikos's Bagpipe Theorem, into a union of a bag (a compact surface with bound…