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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

The goal of this chapter is to develop some machinery which will enable us to compute the fundamental group of a large class of spaces. These spaces are the ones which can be obtained by piecing together in a nice way basic topological building blocks called simplices. A 0-dimensional simplex is a point, a 1-dimensional simplex a line segment, a 2-dimensional simplex a triangle, a 3-dimensional simplex a tetrahedron, and so on. All the spaces which will occupy our attention in the coming chapters will be homeomorphic to spaces built up from simplices.

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© 1967 I. M. Singer and John A. Thorpe

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Singer, I.M., Thorpe, J.A. (1967). Simplicial complexes. In: Lecture Notes on Elementary Topology and Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7347-0_4

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  • DOI: https://doi.org/10.1007/978-1-4615-7347-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7349-4

  • Online ISBN: 978-1-4615-7347-0

  • eBook Packages: Springer Book Archive

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