Ebook: General Topology and Applications

1. Topological Characterization of Isolated Singularities of Infinite Dimensional Complex Hypersurfaces 2. A Note on Completeness of Hyperspaces 3. Remarks on a Theorem of Glicksberg 4. Semiregularization Spaces and the Semiclosure Operator, and s-Closed Spaces 5. A Wild Frechet Space 6. Orthogonal Bases in Topological Algebras: Highlights of Recent Results 7. On a Decomposition of Continuity 8. A Generalization of Compactness and Perfectness 9. The Wallace Problem and Continuity of the Inverse in Pseudocompact Groups 10. Topologies and Cotopologies Generated by Sets of Functions: A Preview 11. The Groups in BN 12. Lie Semigroups in Topology and Geometry 13. Uniformities and Uniform Continuity on Topological Groups 14. A Constructive Theory of Uniform Locales, I: Uniform Covers 15. On P-Regular Completions of Cauchy Spaces 16. Which Spaces Have Metric Analogs? 17. New Invariant Differential Operators on Supermanifolds and Pseudo-(co)homology 18. Monic Sometimes Means a-Irreducible 19. Nonnormality of C’(M,N) in Whitney’s Topology 20. Extensions, Filters, and Proximities 21. Idealized Piccard-Pettis Theorems 22. Graph Convergence for Monotone Functions on the Circle 23. Near Valuations 24. The Dual of a Refinement Algebra 25. Pseudocompactness on Groups 26. Strong Versions of Normality 27. Distal Minimal Flows;This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island - The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.