On \partial-locally compact space

The aim of this paper is to introduce and give preliminary investigation of \partial-locally compact spaces. Locally compactness and \partial-locally compactness are independent of each other. Every locally compact Hausdorff space is \partial-locally compact. But the converse is not true even though it be Hausdorff. \partial-locally compactness is a topological property. \partial-locally compactness is not preserved by the product topology.

Keywords:

Locally compact , Hausdorff space , \partial-locally compact