Jayaprasad, P N; Dr.Johnson, T P(Cochin University of Science And Technology, January 6, 2014)
[+]
[-]
Abstract:
One can do research in pointfree topology in two ways. The rst is
the contravariant way where research is done in the category Frm but
the ultimate objective is to obtain results in Loc. The other way is the
covariant way to carry out research in the category Loc itself directly.
According to Johnstone [23], \frame theory is lattice theory applied to
topology whereas locale theory is topology itself". The most part of this
thesis is written according to the rst view. In this thesis, we make an
attempt to study about
1. the frame counterparts of maximal compactness, minimal Hausdor -
ness and reversibility,
2. the automorphism groups of a nite frame and its relation with the
subgroups of the permutation group on the generator set of the frame
Description:
Department of Mathematics
Cochin University of Science and Technology