Simplicial Sets

  • Sergei I. Gelfand
  • Yuri I. Manin


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.


Abelian Group Exact Sequence Topological Space Geometric Realization Cochain Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Sergei I. Gelfand
    • 1
  • Yuri I. Manin
    • 2
  1. 1.American Mathematical SocietyProvidenceUSA
  2. 2.MPI für MathematikBonnGermany

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