Introduction to Algebraic Topology Algebra 30 min Click to view videos

Video Lecture Description Sub-Category Time Click to view video Back to Maths Video Lecture Course Page Introduction to Algebraic Topology Algebra 30 min Click to view videos One-dimensional objects Algebra 32 min Click to view videos 2: Homeomorphism and the group structure on a circle Algebra 52 min Click to view videos 3: Two-dimensional surfaces: the sphere Algebra 42 min Click to view videos 4: More on the sphere Algebra 41 min Click to view videos 5: Two-dimensional objects- the torus and genus Algebra 50 min Click to view videos 6: Non-orientable surfaces—the Mobius band Algebra 42 min Click to view videos 7: The Klein bottle and projective plane Algebra 40 min Click to view videos 8: Polyhedra and Eulers formula Algebra 46 min Click to view videos 9: Applications of Eulers formula and graphs Algebra 42 min Click to view videos 10: More on graphs and Eulers formula Algebra 48 min Click to view videos 11: Rational curvature, winding and turning Algebra 48 min Click to view videos 12: Duality for polygons and the Fundamental Theorem of Algebra Algebra 46 min Click to view videos 13: More applications of winding numbers Algebra 27 min Click to view videos 14: The Ham Sandwich theorem and the continuum Algebra 36 min Click to view videos 15: Rational curvature of a polytope Algebra 50 min Click to view videos 16: Rational curvature of polytopes and the Euler number Algebra 35 min Click to view videos 17: Classification of combinatorial surfaces I Algebra 51 min Click to view videos 18: Classification of combinatorial surfaces II Algebra 60 min Click to view videos 19: An algebraic ZIP proof Algebra 42 min Click to view videos 20: The geometry of surfaces Algebra 44 min Click to view videos 21: The two-holed torus and 3-crosscaps surface Algebra 39 min Click to view videos 22: Knots and surfaces I Algebra 52 min Click to view videos 23: Knots and surfaces II Algebra 38 min Click to view videos 24: The fundamental group Algebra 43 min Click to view videos 25: More on the fundamental group Algebra 35 min Click to view videos