Week - 1 |
Countability properties; First and second countability |
Week - 2 |
Separation axioms; T1 and T2 spaces |
Week - 3 |
Go on separation axioms; Regular, completely regular |
Week - 4 |
Solving some problems related with separation axioms |
Week - 5 |
Convergence in topological spaces; Sequence convergence |
Week - 6 |
Nets and filters |
Week - 7 |
Convergence of Nets and filters |
Week - 8 |
Solving some problems of convergence |
Week - 9 |
Connected spaces; Disconnected spaces |
Week - 10 |
To contınue connectedness |
Week - 11 |
Path-connectedness |
Week - 12 |
Solving some problems connectedness |
Week - 13 |
Complete metric spaces; Contractive map; The Banach fixed point theorem |
Week - 14 |
The Bair theorem |