Geodesic
Uniformly completely Ramsey sets
Colloquium Mathematicum, Tome 64 (1993) no. 2, pp. 163-171.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Galvin and Prikry defined completely Ramsey sets and showed that the class of completely Ramsey sets forms a σ-algebra containing open sets. However, they used two definitions of completely Ramsey. We show that they are not equivalent as they remarked. One of these definitions is a more uniform property than the other. We call it the uniformly completely Ramsey property. We show that some of the results of Ellentuck, Silver, Brown and Aniszczyk concerning completely Ramsey sets also hold for uniformly completely Ramsey sets. We also investigate the relationships between uniformly completely Ramsey sets, universally measurable sets, sets with the Baire property in the restricted sense and Marczewski sets.
DOI : 10.4064/cm-64-2-163-171

Udayan Darji 1

1 
@article{10_4064_cm_64_2_163_171,
     author = {Udayan Darji},
     title = {Uniformly completely {Ramsey} sets},
     journal = {Colloquium Mathematicum},
     pages = {163--171},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1993},
     doi = {10.4064/cm-64-2-163-171},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-163-171/}
}
TY  - JOUR
AU  - Udayan Darji
TI  - Uniformly completely Ramsey sets
JO  - Colloquium Mathematicum
PY  - 1993
SP  - 163
EP  - 171
VL  - 64
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-163-171/
DO  - 10.4064/cm-64-2-163-171
LA  - en
ID  - 10_4064_cm_64_2_163_171
ER  - 
%0 Journal Article
%A Udayan Darji
%T Uniformly completely Ramsey sets
%J Colloquium Mathematicum
%D 1993
%P 163-171
%V 64
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-163-171/
%R 10.4064/cm-64-2-163-171
%G en
%F 10_4064_cm_64_2_163_171
Udayan Darji. Uniformly completely Ramsey sets. Colloquium Mathematicum, Tome 64 (1993) no. 2, pp. 163-171. doi : 10.4064/cm-64-2-163-171. http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-163-171/

Cité par Sources :