A few Remarks on Reduced Ideal-products
Publications de l'Institut Mathématique, _N_S_57 (1995) no. 71, p. 155
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
A nicer shape of the condition $(\Lambda\Psi)$ (which
ensures preservation of separation axioms $T_k$, $k=0,1,2,3,3\frac12$,
in reduced ideal-products) is given. If an reduced-ideal products is
$T_0$, $T_1$ or $T_2$ then ``almost all" coordinate spaces have this
property. This implication holds for $T_3$-property if the condition
$(\Lambda\Psi)$ is satisfied. Some results on mappings and homogenicity
of r.i. products are obtained. Finally, it is proved that r.i.p. of
topological groups (rings) is a topological group (ring).
Classification :
54B10 54B15 03C65 54H11
@article{PIM_1995_N_S_57_71_a16,
author = {Milan Grulovi\'c and Milo\v{s} Kurili\'c},
title = {A few {Remarks} on {Reduced} {Ideal-products}},
journal = {Publications de l'Institut Math\'ematique},
pages = {155 },
publisher = {mathdoc},
volume = {_N_S_57},
number = {71},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1995_N_S_57_71_a16/}
}
Milan Grulović; Miloš Kurilić. A few Remarks on Reduced Ideal-products. Publications de l'Institut Mathématique, _N_S_57 (1995) no. 71, p. 155 . http://geodesic.mathdoc.fr/item/PIM_1995_N_S_57_71_a16/