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.
Keywords and Phrases
$LM$-G-filters, Images, Quantale, Neighborhood systems.
A.M.S. subject classiﬁcation
54A20, 18A40, 06D22.