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## Free Download of Introduction to General Topology by K. D. Joshi

Introduction to General Topology is a book written by K. D. Joshi, a professor of mathematics at the University of Pune, India. The book was first published in 1983 by John Wiley & Sons (Asia) Pte Ltd, and later reprinted by New Age International in 2010. The book covers the basic concepts and results of general topology, as well as some selected topics such as category theory, uniform spaces, embedding and metrization, nets and filters, and complete metric spaces.

The book is intended for undergraduate and postgraduate students of mathematics who want to learn the foundations of topology and its applications. The book assumes some familiarity with set theory, logic, and analysis, but provides a review of these topics in the first few chapters. The book also contains many examples, exercises, and references to further reading.

## Contents of the Book

The book consists of 15 chapters and an appendix. The chapters are as follows:

• Chapter 1: Sets and Functions

• Chapter 2: Sets with Additional Structures

• Chapter 3: Preliminaries from Analysis

• Chapter 4: What is Topology?

• Chapter 5: Basic Concepts

• Chapter 6: Spaces with Special Properties

• Chapter 7: Cartesian Products of Families of Sets

• Chapter 8: Embedding and Metrisation

• Chapter 9: Nets and Filters

• Chapter 10: Complete Metric Spaces

• Chapter 11: Category Theory

• Chapter 12: Uniform Spaces

• Chapter 13: Selected Topics

• Chapter 14: Miscellaneous Exercises

• Chapter 15: References

• Appendix: Index

## Online Sources for Learning General Topology

If you are interested in learning more about general topology, here are some online sources that you can access for free:

• [Introduction to Topology]: This is a course offered by the Massachusetts Institute of Technology (MIT) through their OpenCourseWare platform. The course covers the basic notions of point-set topology, such as open and closed sets, continuity, compactness, connectedness, and quotient spaces. The course also introduces some algebraic topology concepts, such as homotopy, fundamental groups, covering spaces, and simplicial complexes.

• [Topology]: This is a textbook written by James R. Munkres, a professor emeritus of mathematics at MIT. The textbook is widely used in undergraduate and graduate courses on topology. The textbook covers both point-set topology and algebraic topology in a rigorous and comprehensive manner.

• [Topology Without Tears]: This is a website created by Sidney A. Morris, a professor of mathematics at the Federation University Australia. The website contains a collection of notes, exercises, solutions, videos, and other resources for learning topology. The website covers both point-set topology and algebraic topology in an accessible and intuitive way.