Topology

Lec 0 course introduction

Lecture-1: Review of Metric spaces

Lecture-2: metric topology

Lecture 1-2 :Examples based on lecture 1-2

Lecture 3: Basic definition in topological spaces

Lecture-4: Basic definitions in topological spaces

Lecture 3-4: Examples based on lectures 3-4

Lecture-5: Bases for topology

Lecture-6: Subbase and subspace topology

Lecture 5-6: Examples based on lectures 5-6

Lecture-7: continuous functions in topology

Lecture-8: Homeomorphism in topology

Lecture 7-8: examples based on lectures 7-8

Lecture-9: Countable topological spaces

Lecture-10: Countability and Separability

Lecture-11: Lindelof spaces

Lecture-12: Separation Axioms T_0 And T_1

Lecture-13 Separation Axioms: T_1 And T_2

Lecture-14 convergence of a sequence in T_1 and T_2 spaces

Lecture-15 Regular spaces

Lecture-16 Normal spaces