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MathematicsPhD 4.9 · 240
Algebraic Topology
Doctoral study of shape up to deformation: homotopy, the fundamental group, and homology.
Dr. Igor Volkov
Research Fellow, Topology
Course progress0 / 3 lessons
1
Homotopy & the Fundamental Group
Shape up to continuous deformation.
11 min +120 XP2 quiz questions
2
Counting Holes with Homology
What homology measures about a space.
11 min +120 XP2 quiz questions
3
Homeomorphism: Topological Equivalence
When two shapes count as the same.
9 min +65 XP2 quiz questions