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Topological Spaces : From Distance to Neighborhood /

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Topological Spaces: From Distance to Neighborhood is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry and analysis. The authors have carefully divided the book into three sections; The line and the plane, Metr...

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Bibliographic Details
Main Author: Buskes, Gerard
Corporate Author: SpringerLink (Online service)
Other Authors: Rooij, Arnoud
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1997.
Series:Undergraduate texts in mathematics.
Subjects:
Mathematics.
Topology.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • The Line and the Plane. What Topology is about; Axioms for R.; Convergent sequences and continuity; Curves in the plane
  • Metric Spaces. Metrics; Open and closed sets; Completeness; Uniform convergence; Sequential compactness; Convergent nets; Transition to Topology
  • Topological Spaces. Topological spaces; Compactness and the Hausdorff property; Products and quotients; The Hahn-Tietze-Tong-Urysohn Theorems; Connectedness; Tychonoff's Theorem
  • Postscript. A Smorgasbord for further study; Countable sets
  • A Farewell to the Reader
  • Literature
  • Index of Symbols
  • Index of Terms.