General Topology and Applications  book cover
1st Edition

General Topology and Applications

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ISBN 9780824785529
Published June 24, 1991 by CRC Press
440 Pages

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Book Description

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.

Table of Contents

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

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