Asimetrik Topolojik Uzaylar

Abstract

The aim of this thesis is to make a compilation about asymmetric topological spaces and dual spaces which are defined in order to provide asymmetric spaces to have better topological properties. This work consists of five chapters. The first chapter is an introduction. The second chapter contains the fundamental information which will be used in posterior chapters of the thesis.In the third chapter, asymmetric topological spaces and topological duality are mentioned. In addition, for a given topology, weak, Alexandroff and de Groot duals are defined and with the help of bitopological spaces, relations between a topology and its dual are investigated.