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General Topology Course

General Topology Course
flexible workload of 4 to 360h
valid certificate in your country

What will I learn?

This course offers a practical journey through topological spaces, standard constructions, compactness, connectedness, and separation axioms. You'll gain hands-on experience with homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, while mastering ways to differentiate spaces using invariants, covering spaces, quotients, and solid written proofs.

Elevify advantages

Develop skills

  • Master key topological spaces by constructing, comparing, and classifying them rigorously.
  • Analyse compactness, connectedness, and separation axioms with quick, precise proofs.
  • Apply homotopy, deformation retracts, and CW complexes to simplify complex spaces.
  • Use fundamental groups and covering spaces to identify non-homeomorphic spaces.
  • Develop precise topological arguments from geometric intuition, fit for research.

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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Very great course. Lots of valuable information.
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