DOI: 10.21276/sjpms.2019.6.7.3

Pages: 130-135

In this article we are introduce the study of compact spaces in tritopological spaces (compactness in tritopological spaces namely -compact spaces which defined in [1]). And we are define a countable and local -compactness, also show the interrelations between -compactness and countable -compactness, local -compactness, -Hausdorff, -continuity, -homeomorphism, and others. Further the new results about these spaces which are considered as one of the main generalizations of compact spaces