
General Topology for Beginners
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Product details:
- Publisher Cambridge University Press
- Date of Publication 31 August 2025
- ISBN 9781009505888
- Binding Paperback
- No. of pages350 pages
- Language English 700
Categories
Short description:
This introductory book is meant for graduate and senior undergraduate mathematics students pursuing courses in general topology.
MoreLong description:
This textbook focuses on general topology. Meant for graduate and senior undergraduate mathematics students, it introduces topology thoroughly from scratch and assumes minimal basic knowledge of real analysis and metric spaces. It begins with thought-provoking questions to encourage students to learn about topology and how it is related to, yet different from, geometry. Using concepts from real analysis and metric spaces, the definition of topology is introduced along with its motivation and importance. The text covers all the topics of topology, including homeomorphism, subspace topology, weak topology, product topology, quotient topology, coproduct topology, order topology, metric topology, and topological properties such as countability axioms, separation axioms, compactness, and connectedness. It also helps to understand the significance of various topological properties in classifying topological spaces.
MoreTable of Contents:
1. Preliminaries; 2. Topological Spaces 3. Continuous Functions; 4. Techniques of Creating Topologies: New from Old; 5. The Topology of Metric Spaces; 6. Countability Axioms; 7. Separation Axioms; 8. Compactness; 9. Connectedness; Appendix: From General Topology to Algebraic Topology; References; Index.
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