Abstract :
In this paper a one-point compactification of a ditopological texture space is defined and a concept of local compactness introduced and shown to be additive in the class of ditopological texture spaces. An application to Hutton spaces is given. Here a compact extension of an Hutton space is obtained and a notion of local compactness is defined and shown to be productive in the class of L-topological spaces, where L is a Hutton algebra.
Keywords :
Ditopology , Dicover bicompactness , Hutton algebra , Texture space , L-topology , Locally dicover bicompactness , One-point dicover bicompactification