The Homotopic Category

  • Peter Gabriel
  • Michel Zisman
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 35)

Abstract

Let Y and Z be simplicial sets, and let Hom (Y, Z) be the complex defined in II, 2.5.3. A vertex ofHom (Y, Z) is a morphism f: Y→Z. If f and g are two vertices, a 1-simplex h of Hom(Y, Z) such that d 1 h= f and d 0 h=g is a morphism h: ∆[1] × YZ which makes the following triangles commutative (Fig. 25).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • Peter Gabriel
    • 1
  • Michel Zisman
    • 1
  1. 1.Departement de Mathématique StrasbourgUniversité de StrasbourgFrance

Personalised recommendations