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 $LM$-G-filter spaces with neighborhood systems are also identified.