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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?

This General Topology Course offers a practical journey from foundational topological spaces and key constructions to compactness, connectedness, and separation axioms. Participants will engage with homeomorphisms, homotopy, deformation retracts, and fundamental group concepts, learning to classify spaces using invariants, covering spaces, quotients, and to articulate rigorous proofs effectively.

Elevify advantages

Develop skills

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

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