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General Topology Course

General Topology Course
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.
Workload: between 4 and 360 hours

What our students say

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SilviaNurse
Great course. A lot of valuable information.
WiltonCivil Firefighter

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