Geodesic
A Generalization of the Mapping Degree
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1109-1117

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

For the single-valued case the notion of degree has been given recent expression by papers of Dold [5] for the finite dimensional case, and by Leray-Schauder [8] for the locally convex linear topological space. Klee [7] has removed this restriction by use of shrinkable in place of convex neighborhoods with the central role filled by a form of (2.15) below. For set-valued maps a modern formulation is, for instance, to be found in Gorniewicz-Granas [6]. These contributions relate the degree to the Lefschetz number, and the set-valued maps are required to map points into acyclic sets; that is to say, into "swollen points". 
Bourgin, D. G. A Generalization of the Mapping Degree. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1109-1117. doi: 10.4153/CJM-1974-103-2
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