Extensions of Closure Spaces

Abstract

Extension theory has been intensively studied for completely regular spaces and is fairly well developed for T 0-topological spaces. (See, for example, [ 1 ] and [ 5 ]). However, except for definitions of some of the basic concepts in [ 4 ] and results on embedding of closure spaces in cubes in [ 2 ] and [ 7 ], ours is the first study of the general theory of extensions of G 0-closure spaces. (Definitions will be given following these introductory paragraphs).