Search Colleges, Exams, Schools & more
Login
Introduction to Algebraic Topology
Online
12 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Palakkad |
The Syllabus
- Recalling the basic concepts from point set topology: Topological spaces, continuous functions, topological invariants e.g., compactness, connectedness etc
- Homotopy and Homotopy type
- Simplicial complexes and Homotopy.
- The Fundamental group. Covering Spaces. The Fundamental Group of Circle.
- Induced Homomorphisms. The Fundamental Group of a Sphere. Free product of groups and Seifert-Van Kampen Theorem.
- Theory of Covering Spaces.
- Deck transformations.
- Simplicial Homology: Definitions and basic properties.
- Homology of a cone. Simplicial approximation. Barycentric subdivisionInduced homomorphism.
- Homotopy invariance. Applications. Exact sequences.
- Some basics of Homological Algebra. Mayer-Vietoris Sequence. Excision.
- Applications and computations.
- Applications and computations.
Instructors
Articles
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM