The course content is completely based on the following books
- Introduction to Topology by T.W. Gamelin, and R.E. Greene. [2nd edition]
Page for this Book. (Include Prerequisites, Chapters and its contents links, Solutions to Exercises links )
This is an introductory course for topology theory. It serves to lay foundations for several advanced topics in Analysis, Geometry and Algebra.
Prerequisites: There are no formal prerequisites for studying this course. But I must add here that if students lack Analysis or “rigorous calculus”, they might miss much of the motivation for concepts introduced initially. Things will go much smoother if you have grasped basic concepts of continuous functions, open and closed sets, metric spaces, and the like, although none of these is actually assumed. Some familiarity with elementary groups in Group Theory is required for the later part. Though, I will reintroduce those basic concepts but extensive treatment will not be given.
- Topology by
Some Wonderful sites for Topologist:
Ask a Topologist [http://at.yorku.ca/cgi-bin/bbqa]