Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 24, No 1, (1998), 25p-36p
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.
∗ Financial support of the Grant Agency of the Czech Republic under the grant no
201/96/0119 and of the Grant Agency of the Charles University under the grant GAUK 149 is