Introduction; 13. Distance; 14. Open and closed sets (I) 15. Open and closed sets (II); 16. Continuity; 17. Connected sets; 18. Cluster points; 19. Compact sets (I); 20. Compact Sets (II); 21. Topology; 22. Limits and continuity (I); 23. Limits and continuity (II); 24. Points at infinity; 25. Sequences; 26. Oscillation; 27. Completeness; 28. Series; 29. Infinite sums; 30. Separation in R n.
This book is an introduction to the ideas from general topology that are used in elementary analysis.
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