Abstract
First, let us give some general remarks which will divert us a little:
For each natural integer n, the set Δ ([n], [1]) will be totally ordered by saying that f≧g if and only if f (i)≦g(i) for each i∈[n]; moreover, we can identify the ordered set Δ ([n], [1]) with [n+1] under the map f → card f−1(0). We define thus a functor [n] → Δ ([n], [1]) from Δ to Δ°, which will be noted II, and which can be described as follows:
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© 1967 Springer-Verlag Berlin · Heidelberg
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Gabriel, P., Zisman, M. (1967). Geometric Realization of Simplicial Sets. In: Calculus of Fractions and Homotopy Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85844-4_4
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DOI: https://doi.org/10.1007/978-3-642-85844-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85846-8
Online ISBN: 978-3-642-85844-4
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