Sem 2 2023/24: Topology

Lectures: Tuesday 09-11 and Thursday 09-11 Office Hours: Thursday 11:15-12:10 in S1

04.01: Lecture 1: Introduction, Sets and Functions
09.01: Lecture 2: Topological spaces
11.01: Lecture 3: (Sub)Basis, Product and subspace topology
16.01: Lecture 4: Closed sets and limits
18.01: Lecture 5: Hausdorff spaces; Continuous functions
23.01: Quiz 1
Lecture 6: Constructing continuous functions
25.01: Lecture 7: Product and metric topology
30.01: Lecture 8: Metric topology (contd.)
01.02: Lecture 9: Metric and Quotient topology
06.02: Lecture 10: Quotient topology (contd.)
08.02: Lecture 11: Connectedness
13.02: Quiz 2
Lecture 12: Components and local connectedness
15.02: Lecture 13: Compactness
27.02: Lecture 14: Compact subspaces of the real line (Ritaman Ghosh)
29.02: Lecture 15: Problem session (Ritaman Ghosh)
05.03: Lecture 16: Limit point compactness and local compactness
07.03: Lecture 17: Countability and separation axioms
12.03: Quiz 3
Lecture 18: The Urysohn lemma
14.03: Lecture 19: Tietze extension theorem; Manifolds
19.03: Lecture 20: Tychonoff theorem (Ritaman Ghosh)
21.03: Lecture 21: Complete metric spaces (Ritaman Ghosh)
26.03: Lecture 22: Compactness in metric spaces; topologies of convergence on function spaces
28.03: Lecture 23: Compact-open topology; Topological groups
02.04: Lecture 24: Nets and subnets
04.04: Quiz 4
Lecture 25: Stone–Čech compactification