A Note on Topological Properties of Non-Hausdorff Manifolds

Steven L. Kent, Roy A. Mimna and Jamal K. Tartir

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-4

Abstract:

The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a topological manifold. In much of literature, a topological manifold of dimension ð ‘› is a Hausdorff topological space which has a countable base of open sets and is locally Euclidean of dimension ð ‘› . We begin with the definition of a non-Hausdorff topological manifold.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:891785

DOI: 10.1155/2009/891785

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