Introduction to Topology

• Main Author: Singh, Tej Bahadur (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Topology.; Functional analysis.; Functional Analysis.

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in...

Table of Contents:

• Chapter 1. Topological Spaces
• Chapter 2. Continuity and Products
• Chapter 3. Connectedness
• Chapter 4. Convergence
• Chapter 5. Countability axioms
• Chapter 6. Compactness
• Chapter 7. Topological Constructions
• Chapter 8. Separation Axioms
• Chapter 9. Paracompactness and Metrisability
• Chapter 10. Completeness
• Chapter 11. Function Spaces
• Chapter 12. Topological Groups
• Chapter 13. Transformation Groups
• Chapter 14. The fundamental Group
• Chapter 15. Covering Spaces.