Geodesic
Pull-Backs in Homotopy Theory
Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 225-263

Voir la notice de l'article provenant de la source Cambridge University Press

The (based) homotopy category consists of (based) topological spaces and (based) homotopy classes of maps. In these categories, pull-backs and push-outs do not generally exist. For example, no essential map between Eilenberg-MacLane spaces of different dimensions has a kernel. In this paper we define homotopy pull-backs and push-outs, which do exist and which behave like pull-backs and push-outs, and we give some of their properties. Applications may be found in [3; 5; 6 and 14]. 
Mather, Michael. Pull-Backs in Homotopy Theory. Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 225-263. doi: 10.4153/CJM-1976-029-0
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