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General Topology for Beginners

Authors

, Sardar Patel University
Published 2026

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…

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Key features

  • Applications of connectedness and examples of compactness, connectedness, and path-connectedness provided in detail
  • Stepwise and detailed proofs for a better understanding of concepts
  • Figures and diagrams for ease of visualization

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