Geodesic
No hedgehog in the product?
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 349-361

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

Assuming OCA, we shall prove that for some pairs of Fréchet $\alpha_4$-spaces $X, Y$, the Fréchetness of the product $X\times Y$ implies that $X\times Y$ is $\alpha_4$. Assuming MA, we shall construct a pair of spaces satisfying the assumptions of the theorem.
Classification : 03E50, 03E65, 54B10, 54D55, 54G20
Keywords: Fréchet space; $\alpha _4$-space; Fréchet fan; $(\kappa, \kappa )$-good set 
@article{CMUC_2002__43_2_a12,
     author = {Simon, Petr and Tironi, Gino},
     title = {No hedgehog in the product?},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {349--361},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2002},
     mrnumber = {1922133},
     zbl = {1090.54024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a12/}
}
TY  - JOUR
AU  - Simon, Petr
AU  - Tironi, Gino
TI  - No hedgehog in the product?
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2002
SP  - 349
EP  - 361
VL  - 43
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a12/
LA  - en
ID  - CMUC_2002__43_2_a12
ER  - 
%0 Journal Article
%A Simon, Petr
%A Tironi, Gino
%T No hedgehog in the product?
%J Commentationes Mathematicae Universitatis Carolinae
%D 2002
%P 349-361
%V 43
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a12/
%G en
%F CMUC_2002__43_2_a12
Simon, Petr; Tironi, Gino. No hedgehog in the product?. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 349-361. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a12/