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Algebrallinen topoplogia I

Kurssikoodi

57240

Tyyppi

Syventävä opinto.

Kurssisivut

Algebraic Topology, spring 2008
Introduction to algebraic topology, fall 2011

Contents

This is a basic course in algebraic topology. We begin by giving the construction of singular homology. Then we apply this theory to prove

  • Brouwer's fixed-point theorem
  • the non-existence of non-zero vector fields on even-dimensional spheres
  • the fundamental theorem of algebra
  • the Jordan-Brouwer separation theorem and Brouwer's theorem on invariance of domain

Laajuus

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