Geodesic
The Homotopy Set of the Axes of Pairings
Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 856-868

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

Varadarajan [13] named a map f: A → X a cyclic map when there exists a map F: X × A → X such that for the folding map ∇X : X ∨ X → X. He defined the generalized Gottlieb set G(A, X) of the homotopy classes of the cyclic maps F: A → X and studied the fundamental properties of G(A, X) If A is a co-Hopf space, then the Varadarajan set G(A, X) has a group structure [13]. The group G(A,X) is a generalization of G(X) and Gn(X) of Gottlieb [2,3]. Some authors studied the properties of the Varadarajan set, its dual and related topics [4, 5, 6, 7,12,15,16,17]. 
Oda, Nobuyuki. The Homotopy Set of the Axes of Pairings. Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 856-868. doi: 10.4153/CJM-1990-044-3
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