📔 Topology
Graduate Course, ISI & IISc, 2022
📌 Logistics: These notes have been compiled from coursework undertaken at ISI and IISc. Further materials are in preparation and will be made available in due course.
- Lec-1: Introduction to topology
- Lec-2: Topological spaces
- Lec-3: Bases of Topology
- Lec-4: Metric Spaces
- Lec-5: Hausdorff distance & Ultra-Metrics
- Lec-6: Sub-space Topology & its properties
- Lec-7: Continuous Functions
- Lec-8: Continuity
- Lec-9: Topological Concepts
- Lec-10: Homeomorphisms and Order Topology
- Lec-11: Criteria for Continuity
- Lec-12: Connectedness Property
- Lec-13: Connectedness & Homeomorphisms
- Lec-14: Path Connectedness
- Lec-15: Seperation Properties
- Lec-16: Countablity Properties
- Lec-17: Compactness
- Lec-18: Compactness and Metric Spaces
- Lec-19: Compactification