MA3427 - Algebraic Topology I Dr. David R. Wilkins Miscellaneous Resources - Michaelmas Term 2018

Topics

The Peano Space-Filling Curve

• Peano Curve (Wikipedia)
• Space-filling curve (Wikipedia)
• Peano space-filling Curve, four approximations, version A (Mirko Topology)
• Pathological (Mathematics) (Wikipedia)

The Cauchy Product of Infinite Series

• The basic theorem concerning the Cauchy product of two absolutely convergent infinite series is stated and proved as Theorem 2.7 of module MA214 as taught in the academic year 2007/08.

Path Lifting and Homotopy Lifting Theorems for the Exponential Map

• The course notes for MA212 in the academic year 2000/01 include alternative proofs of the path lifting theorem for the exponential map that constitutes Theorem 2.5 of the MA3427 notes for 2018/19.

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Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.