Lecture Description File
Lecture 1: Metric spaces and their properties PDF
Lecture 2: Closed sets and sequences PDF
Lecture 3: Cauchy sequences and completeness PDF
Lecture 4: Baire category theorem and completeness of $\mathbb R$ PDF
Lecture 5: Continuity PDF
Lecture 6: Products PDF
Lecture 7: Compactness PDF
Lecture 8: Compactness in metric spaces PDF
Lecture 9: Metric compactness continued PDF
Lecture 10: Compactness and normed spaces PDF
Lecture 12: Topological spaces PDF
Lecture 13: Continuous functions and subspaces PDF
Lecture 14: Bases and subbases PDF
Lecture 15: Products and quotients PDF
Lecture 16: Separation axioms PDF
Lecture 17: $T_3$ and $T_4$ PDF
Lecture 18: Uryshon and Tietze PDF
Lecture 19: Compactness PDF
Lecture 20: Connectedness PDF
Lecture 21: Locally compact spaces and infinite products PDF
Lecture 23: Groups and homotopies PDF
Lecture 24: Paths and the fundamental group PDF
Lecture 25: Induced homomorphisms and base points PDF
Lecture 26: Covering spaces
Lecture 27: Path lifting PDF
Lecture 28: Covers and $\pi_1$ PDF
Lecture 29: Classification PDF