General Topology Course
This course covers essential general topology concepts including topological spaces, compactness, connectedness, Hausdorff properties, homotopy, and fundamental groups. Students gain skills in writing clear, rigorous proofs suitable for advanced mathematical research and professional applications in Gambia.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Explore general topology from basic spaces and constructions to compactness, connectedness, and separation axioms. Gain hands-on experience with homeomorphisms, homotopy, deformation retracts, fundamental groups, invariants, covering spaces, quotients, and crafting rigorous proofs to classify spaces effectively.
Elevify advantages
Develop skills
- Master core topological spaces: build, compare, and classify with rigor.
- Analyze compactness, connectedness, and separation via sharp, fast proofs.
- Use homotopy, deformation retracts, and CW intuition to simplify spaces.
- Apply fundamental group and covering ideas to distinguish non-homeomorphic spaces.
- Write precise, research-ready topological arguments from intuitive geometry.
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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