Alternate definition of continuity between metric spaces.

1. Metrics
2. Metric Examples (Part 1)
3. Metric Examples (Part 2)
4. Open Balls
5. Open Sets
6. Continuity of Functions Between Metric Spaces (Part 1)
7. Continuity of Functions Between Metric Spaces (Part 2)
8. Unions and Intersections of Open Sets In Metric Spaces
9. Topological Spaces
10. Topology Examples
11. Metric Equivalences
12. Continuity of Functions Between Topological Spaces
13. Continuity Examples
14. Closed Sets
15. Properties of Closed Sets
16. Bases
17. Subbases
18. Topological Distinguishability
19. Neighbourhoods and Interiors
20. Neighbourhood Bases
21. Axioms Of Countability
22. Sequences (Part 1)
23. Sequences (Part 2)
24. Sequential Continuity
25. Sequential Continuity Counterexample
26. Directed Sets
27. Nets
28. Subnets
29. Net Continuity

A collection of 29 video tutorials by an unknown author on point-set topology (general topology), covering metric spaces, set theory, continuity, sequences,countability, and much more.