General Topology: An Introduction

The First Half Of The Book Provides An Introduction To General Topology, With Ample Space Given To Exercises And Carefully Selected Applications. The Second Half Of The Text Includes Topics In Asymmetric Topology, A Field Motivated By Applications In Computer Science. Recurring Themes Include The Interactions Of Topology With Order Theory And Mathematics Designed To Model Loss-of-resolution Situations. Frontmatter -- Preface -- Contents -- 0. Preliminaries -- 1. Topologies -- 2. New Topologies From Existing Topologies -- 3. Continuity -- 4. Connectedness -- 5. Compactness -- 6. Metric Spaces And Real Analysis -- 7. Separation Axioms And Compactifications -- 8. Alexandroff Spaces -- 9. Lattice Properties -- 10. Partially Ordered Topological Spaces -- 11. Variations On Metric Spaces -- 12. Uniform Structures -- 13. Continuous Deformation Of Sets And Curves -- Index -- Bibliography Tom Richmond. Mode Of Access: Internet Via World Wide Web. In English.