General Topology Course
Gain mastery in essential general topology concepts including topological spaces, compactness, connectedness, Hausdorff properties, homotopy, and fundamental groups. Learn to craft clear, rigorous proofs that underpin advanced mathematical research and professional applications in the field.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a focused, practical journey from fundamental topological spaces and key constructions to compactness, connectedness, and separation axioms. Participants will engage with homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, while mastering the use of invariants, covering spaces, quotients, and rigorous proofs to differentiate topological spaces.
Elevify Advantages
Develop Skills
- Master core topological spaces through building, comparing, and classifying with rigour.
- Analyse compactness, connectedness, and separation axioms using sharp and efficient proofs.
- Apply homotopy, deformation retracts, and CW complexes to simplify topological spaces.
- Use fundamental groups and covering spaces to distinguish non-homeomorphic spaces.
- Develop precise topological arguments suitable for research from intuitive geometric insights.
Suggested Summary
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