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Simplicial Sets

In: Methods of Homological Algebra

Author

Listed:
  • Sergei I. Gelfand

    (American Mathematical Society)

  • Yuri I. Manin

    (MPI für Mathematik)

Abstract

Figure 1 depicts three triangulated spaces. Their main property is that they are glued from simplices: points, segments, triangles, tetrahedra and their higher dimensional generalizations. Such spaces can be described combinatorially: one has to specify how many simplices of any dimension should be taken and how they should be glued together. Let us give precise definitions.

Suggested Citation

  • Sergei I. Gelfand & Yuri I. Manin, 1996. "Simplicial Sets," Springer Books, in: Methods of Homological Algebra, chapter 0, pages 1-55, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-03220-6_1
    DOI: 10.1007/978-3-662-03220-6_1
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