Compactification of a convergence space

The Nachbin Compactification via Convergence Ordered Spaces

On Smallest Compactification for Convergence Spaces

In this note we obtain necessary and sufficient conditions for a convergence space to have a smallest Hausdorff compactification and to have a smallest regular compactification. Introduction. A Hausdorff convergence space as defined in [1] always has a Stone-Cech compactification which can be obtained by a slight modification of the result in [3]. But in general this need not be the largest Hau...

Every Hausdorff Compactification of a Locally Compact Separable Space Is a Ga Compactification

1. I n t r o d u c t i o n . In [4], De Groot and Aarts constructed Hausdorff compactifications of topological spaces to obtain a new intrinsic characterization of complete regularity. These compactifications were called GA compactifications in [5] and [7]. A characterization of complete regularity was earlier given by Fr ink [3], by means of Wallman compactifications, a method which led to the...

A Compactification of a Fine Moduli Space of Curves

Discriminating properties of the space-time compactification

Compactification of the 5-dimensional Kaluza-Klein space-time geometry is produced. It is shown, that consideration of the space-time geometry as a physical geometry, i.e. as a geometry described completely by the world function, leads to a discrimination of some values of the particle momentum component along the fifth (charge) coordinate.