General Topology Course
Explore essential general topology concepts including topological spaces, compactness, connectedness, Hausdorff properties, homotopy, and fundamental groups. Develop skills in crafting clear, rigorous proofs suitable for advanced mathematical research and professional applications in Canada.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a focused journey through basic topological spaces, standard constructions, compactness, connectedness, and separation axioms. Participants will engage with homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, learning to differentiate spaces using invariants, covering spaces, quotients, and rigorous proofs.
Elevify advantages
Develop skills
- Master core topological spaces through building, comparing, and classifying with precision.
- Analyze compactness, connectedness, and separation using efficient proofs.
- Apply homotopy, deformation retracts, and CW complexes to simplify spaces.
- Utilize fundamental groups and covering spaces to identify non-homeomorphic spaces.
- Craft precise topological arguments ready for research from geometric intuition.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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