Foundations of Topology: An Approach to Convenient Topology

Preface. Introduction. 0. Preliminaries. 1. Topological constructs. 2. Reflections and coreflections. 3. Topological universes. 4. Completions of semiuniform convergence spaces. 5. Connectedness properties. 6. Function spaces. 7. Relations between semiuniform convergence spaces and merotopic spaces (including nearness spaces). Appendix: Some algebraically topological aspects in the realm of Convenient Topology. Exercises. Implication scheme for various SUConv-invariants. Table: Preservation properties of some SUConv-invariants. Diagram of relations between various subconstructs of SUConv (including their relations to merotopic and nearness spaces). Bibliography. List of axioms. List of symbols. Index.