ON THE IMAGES OF LM-G-FILTERS AND LM-G-FILTERBASES

Abstract

This paper studies LM-G-filters as a generalization of LM-filters. Images of LM-G-filter spaces and LM-G-filterbases induced by functions are investigated and some of their properties are derived. It is shown that the property of being weakly inspired, catalyzed, s-stratified and stratification of LM-G-filter spaces are preserved by images. Moreover the categorical connections of LM-Gfilter spaces with neighborhood systems are also identified.