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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 General Topology Course offers a practical journey from foundational topological spaces and key constructions to compactness, connectedness, and separation axioms. You will gain hands-on experience with homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, while mastering ways to classify spaces using invariants, covering spaces, quotients, and precise written proofs.

Elevify advantages

Develop skills

  • Master key topological spaces: construct, compare, and classify them rigorously.
  • Analyse compactness, connectedness, and separation axioms with concise proofs.
  • Apply homotopy, deformation retracts, and CW complexes to simplify spaces.
  • Use fundamental groups and covering spaces to differentiate non-homeomorphic spaces.
  • Craft precise, research-level topological proofs 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.
Workload: between 4 and 360 hours

What our students say

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Course in PDF