Geodesic
Fat $P$-sets in the Space $\omega^*$
Ryszard Frankiewicz 1   ; Magdalena Grzech 2   ; Paweł Zbierski 3
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
2 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków, Poland
3 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 121-129 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We prove that—consistently—in the space $\omega^*$ there are no $P$-sets with the $\mathbb C$-cc and any two fat $P$-sets with the ${\mathbb C}^+$-cc are coabsolute.
DOI : 10.4064/ba53-2-1
Keywords: prove consistently space omega * there p sets mathbb c cc fat p sets mathbb cc coabsolute

Ryszard Frankiewicz  1   ; Magdalena Grzech  2   ; Paweł Zbierski  3

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
2 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków, Poland
3 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
@article{10_4064_ba53_2_1,
     author = {Ryszard Frankiewicz and Magdalena Grzech and Pawe{\l} Zbierski},
     title = {Fat $P$-sets in the {Space} $\omega^*$},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {121--129},
     year = {2005},
     volume = {53},
     number = {2},
     doi = {10.4064/ba53-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba53-2-1/}
}
TY  - JOUR
AU  - Ryszard Frankiewicz
AU  - Magdalena Grzech
AU  - Paweł Zbierski
TI  - Fat $P$-sets in the Space $\omega^*$
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2005
SP  - 121
EP  - 129
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba53-2-1/
DO  - 10.4064/ba53-2-1
LA  - en
ID  - 10_4064_ba53_2_1
ER  - 
%0 Journal Article
%A Ryszard Frankiewicz
%A Magdalena Grzech
%A Paweł Zbierski
%T Fat $P$-sets in the Space $\omega^*$
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2005
%P 121-129
%V 53
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ba53-2-1/
%R 10.4064/ba53-2-1
%G en
%F 10_4064_ba53_2_1
Ryszard Frankiewicz; Magdalena Grzech; Paweł Zbierski. Fat $P$-sets in the Space $\omega^*$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 121-129. doi: 10.4064/ba53-2-1

Cité par Sources :