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math.DG2023
A Non-Hausdorff de Rham Cohomology
David O'Connell
In this paper we introduce and study the basic properties of de Rham cohomology for a certain class of non-Hausdorff manifolds. After a careful discussion of non-Hausdorff differen…
math.DG2023
Vector Bundles over non-Hausdorff Manifolds
David O'Connell
In this paper we generalise the theory of real vector bundles to a certain class of non-Hausdorff manifolds. In particular, it is shown that every vector bundle fibred over these n…