General Topology Course
This course covers essential general topology topics including topological spaces, compactness, connectedness, separation axioms like Hausdorff, homotopy, and fundamental groups. Students develop the ability to craft rigorous, clear proofs suitable for advanced mathematical research and professional applications in Namibia's academic settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path through basic topological spaces, key constructions, compactness, connectedness, and separation axioms. Learners will explore homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, gaining skills to classify spaces using invariants, covering spaces, quotients, and precise proofs.
Elevify advantages
Develop skills
- Master core topological spaces through building, comparing, and rigorous classification.
- Analyze compactness, connectedness, and separation with efficient proofs.
- Apply homotopy, deformation retracts, and CW complexes to simplify spaces.
- Use fundamental groups and coverings to identify non-homeomorphic spaces.
- Write precise topological proofs grounded in geometric intuition.
Suggested summary
Before starting, you can change the chapters and 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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