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A Note on Topological Properties of Non-Hausdorff Manifolds

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  • Steven L. Kent
  • Roy A. Mimna
  • Jamal K. Tartir

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.

Suggested Citation

  • Steven L. Kent & Roy A. Mimna & Jamal K. Tartir, 2009. "A Note on Topological Properties of Non-Hausdorff Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-4, July.
    • Handle: RePEc:hin:jijmms:891785
    DOI: 10.1155/2009/891785
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