Co-Connected Spaces

Trnková, Vera. "Co-Connected Spaces." Serdica Mathematical Journal 24.1 (1998): 25-36. <http://eudml.org/doc/11576>.

@article{Trnkova1998,
abstract = {∗ 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 gratefully acknowledged.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.},
author = {Trnková, Vera},
journal = {Serdica Mathematical Journal},
keywords = {Products; Continuous Maps; Monoids; Connectednes},
language = {eng},
number = {1},
pages = {25-36},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Co-Connected Spaces},
url = {http://eudml.org/doc/11576},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Trnková, Vera
TI - Co-Connected Spaces
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 1
SP - 25
EP - 36
AB - ∗ 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 gratefully acknowledged.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.
LA - eng
KW - Products; Continuous Maps; Monoids; Connectednes
UR - http://eudml.org/doc/11576
ER -