Maximal compactness, minimal hausdorffness and reversibility of frames and a study on automorphism group of frames

Abstract

newlineOne can do research in pointfree topology in two ways The first is newlinethe contravariant way where research is done in the category Frm but newlinethe ultimate objective is to obtain results in Loc The other way is the newlinecovariant way to carry out research in the category Loc itself directly newlineAccording to Johnstone frame theory is lattice theory applied to newlinetopology whereas locale theory is topology itself The most part of this newlinethesis is written according to the first view In this thesis we make an newlineattempt to study about newlinethe frame counterparts of maximal compactness minimal Hausdor ness and reversibility newlinethe automorphism groups of a finite frame and its relation with the newlinesubgroups of the permutation group on the generator set of the frame newline