An Application of the Van Kampen Theorem

  • JOSHUA GENSLER
  • Published 2011

Abstract

In this paper, we prove the van Kampen Theorem and illustrate its applications to cell complexes; in particular, we compute the fundamental group for every compact surface and show that every group is the fundamental group of some space. Working towards this aim, we first introduce the categorical language needed for our statement of the van Kampen Theorem… (More)

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