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 
@article{SMJ2_1998_24_1_a4,
     author = {Trnkov\'a, Vera},
     title = {Co-Connected {Spaces}},
     journal = {Serdica Mathematical Journal},
     pages = {25--36},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a4/}
}
TY  - JOUR
AU  - Trnková, Vera
TI  - Co-Connected Spaces
JO  - Serdica Mathematical Journal
PY  - 1998
SP  - 25
EP  - 36
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a4/
LA  - en
ID  - SMJ2_1998_24_1_a4
ER  - 
%0 Journal Article
%A Trnková, Vera
%T Co-Connected Spaces
%J Serdica Mathematical Journal
%D 1998
%P 25-36
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_1998_24_1_a4/
%G en
%F SMJ2_1998_24_1_a4
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/