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General Topology Course

General Topology Course
from 4 to 360h flexible workload
certificate valid 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 handle homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, while using invariants, covering spaces, quotients, and precise proofs to identify distinct spaces.

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Develop skills

  • Master key topological spaces through building, comparing, and classifying rigorously.
  • Analyse compactness, connectedness, and separation with efficient proofs.
  • Apply homotopy, deformation retracts, and CW complexes to simplify spaces.
  • Use fundamental groups and coverings to differentiate non-homeomorphic spaces.
  • Craft precise topological proofs ready for research from 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.
Workload: between 4 and 360 hours

What our students say

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