Geodesic
Co-Connected Spaces
Serdica Mathematical Journal, Tome 24 (1998) no. 1, pp. 25-36.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

Co-connected spaces, i.e. the spaces X for which any continuous map X^2 → X factors through a projection, are investigated. The main result: every free monoid is isomorphic to the monoid of all nonconstant continuous selfmaps of a metrizable co-connected space.
Keywords: Products, Continuous Maps, Monoids, Connectednes 
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Trnková, Vera. Co-Connected Spaces. Serdica Mathematical Journal, Tome 24 (1998) no. 1, pp. 25-36. http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a4/