Geodesic
Topological groups with co-monoid structures
Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 145-152

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

The Eckman–Hilton duality [4] reverses arrows in diagrams, turns products to co-products, and multiplications to co-multiplications, etc. In accordance with this process, Kan [5] obtained the dual of a monoid structure in the category of groups. In this way, we obtain co-monoid structures on topological groups. The main result of this paper is that for kaω groups (see §2), we obtain a one-to-one correspondence between the co-monoid structures, and the free topological bases of the group (§3), thus obtaining topological analogues of the main results of [5]. 
Katz, Elyahu. Topological groups with co-monoid structures. Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 145-152. doi: 10.1017/S0017089500003189
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