N J Wildberger - University of New South Wales


AlgTop0: Introduction to Algebraic Topology

AlgTop0: Introduction to Algebraic Topology

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop1: One-dimensional objects

AlgTop1: One-dimensional objects

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop2: Homeomorphism and the group structure on a circle

AlgTop2: Homeomorphism and the group structure on a circle

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop3: Two-dimensional surfaces: the sphere

AlgTop3: Two-dimensional surfaces: the sphere

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop4: More on the sphere

AlgTop4: More on the sphere

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop5: Two-dimensional objects- the torus and genus

AlgTop5: Two-dimensional objects- the torus and genus

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop6: Non-orientable surfaces---the Mobius band

AlgTop6: Non-orientable surfaces---the Mobius band

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop7: The Klein bottle and projective plane

AlgTop7: The Klein bottle and projective plane

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop8: Polyhedra and Euler's formula

AlgTop8: Polyhedra and Euler's formula

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop9: Applications of Euler's formula and graphs

AlgTop9: Applications of Euler's formula and graphs

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop10: More on graphs and Euler's formula

AlgTop10: More on graphs and Euler's formula

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop11: Rational curvature, winding and turning

AlgTop11: Rational curvature, winding and turning

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop12: Duality for polygons and the Fundamental Theorem of Algebra

AlgTop12: Duality for polygons and the Fundamental Theorem of Algebra

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop13: More applications of winding numbers

AlgTop13: More applications of winding numbers

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop14: The Ham Sandwich theorem and the continuum

AlgTop14: The Ham Sandwich theorem and the continuum

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop15: Rational curvature of a polytope

AlgTop15: Rational curvature of a polytope

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop16: Rational curvature of polytopes and the Euler number

AlgTop16: Rational curvature of polytopes and the Euler number

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop17: Classification of combinatorial surfaces I

AlgTop17: Classification of combinatorial surfaces I

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop18: Classification of combinatorial surfaces II

AlgTop18: Classification of combinatorial surfaces II

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop19: An algebraic ZIP proof

AlgTop19: An algebraic ZIP proof

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop20: The geometry of surfaces

AlgTop20: The geometry of surfaces

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop21: The two-holed torus and 3-crosscaps surface

AlgTop21: The two-holed torus and 3-crosscaps surface

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop22: Knots and surfaces I

AlgTop22: Knots and surfaces I

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop23: Knots and surfaces II

AlgTop23: Knots and surfaces II

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop24: The fundamental group

AlgTop24: The fundamental group

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop25: More on the fundamental group

AlgTop25: More on the fundamental group

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop26: Covering spaces

AlgTop26: Covering spaces

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop27: Covering spaces and 2-oriented graphs

AlgTop27: Covering spaces and 2-oriented graphs

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop28: Covering spaces and fundamental groups

AlgTop28: Covering spaces and fundamental groups

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop29: Universal covering spaces

AlgTop29: Universal covering spaces

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop30: An introduction to homology

AlgTop30: An introduction to homology

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop31: An introduction to homology (cont.)

AlgTop31: An introduction to homology (cont.)

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop32: Simplices and simplicial complexes

AlgTop32: Simplices and simplicial complexes

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop33: Computing homology groups

AlgTop33: Computing homology groups

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
AlgTop34: More homology computations

AlgTop34: More homology computations

Topic: Topology
Teacher: N J Wildberger
AlgTop35: Delta complexes, Betti numbers and torsion

AlgTop35: Delta complexes, Betti numbers and torsion

Topic: Topology
Teacher: N J Wildberger
Concepts In This Lecture:
WildLinAlg1: Introduction to Linear Algebra

WildLinAlg1: Introduction to Linear Algebra

Topic: Linear Algebra
Teacher: N J Wildberger

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