Partially Ordered Topological Spaces

Abstract

<p>In this thesis we consider categories of partially ordered topological spaces, reflexions and coreflexions, and in particular compactifications and real compactifications.</p> <p>We study projective and injective objects in some subcategories.</p> <p>The category of partially ordered topological spaces being an extension of the category of topological spaces, we generalize theorems on CX of Stone and Shirota, by the introduction of the appropriate functors.</p>