Foundations of Topology

Convenient Topology introduces a new framework that addresses limitations found in traditional topological and uniform spaces, enhancing the study of convergence and continuity. Central to this approach are semiuniform convergence spaces, which encompass various convergence structures, including topological and uniform types. This framework allows for the exploration of complex concepts such as Cauchy continuity and uniform continuity in function spaces. The book presents unique results unattainable through conventional methods, with a self-contained text, except for the final chapter discussing nearness concepts.