A Note on Topological Properties of Non-Hausdorff Manifolds
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 t...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/891785 |
| Summary: | 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 𝑛 is a Hausdorff topological space which has a countable base of open sets and is locally Euclidean of dimension 𝑛. We begin with the definition of a non-Hausdorff topological manifold. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |