Geodesic
Compactness of Powers of $ \omega $
Paolo Lipparini1
1 Dipartimento di Matematica II Università di Roma (Tor Vergata) Viale della Ricerca Scientifica I-00133 Roma, Italy
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 239-246.

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

We characterize exactly the compactness properties of the product of $\kappa $ copies of the space $ \omega $ with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in elementary extensions. We also have results involving products of possibly uncountable regular cardinals.
DOI : 10.4064/ba61-3-5
Keywords: characterize exactly compactness properties product kappa copies space omega discrete topology characterization involves uniform ultrafilters infinitary languages existence nonstandard elements elementary extensions have results involving products possibly uncountable regular cardinals

Paolo Lipparini 1

1 Dipartimento di Matematica II Università di Roma (Tor Vergata) Viale della Ricerca Scientifica I-00133 Roma, Italy 
@article{10_4064_ba61_3_5,
     author = {Paolo Lipparini},
     title = {Compactness of {Powers} of $ \omega $},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {239--246},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {2013},
     doi = {10.4064/ba61-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-5/}
}
TY  - JOUR
AU  - Paolo Lipparini
TI  - Compactness of Powers of $ \omega $
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2013
SP  - 239
EP  - 246
VL  - 61
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-5/
DO  - 10.4064/ba61-3-5
LA  - en
ID  - 10_4064_ba61_3_5
ER  - 
%0 Journal Article
%A Paolo Lipparini
%T Compactness of Powers of $ \omega $
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2013
%P 239-246
%V 61
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-5/
%R 10.4064/ba61-3-5
%G en
%F 10_4064_ba61_3_5
Paolo Lipparini. Compactness of Powers of $ \omega $. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 239-246. doi : 10.4064/ba61-3-5. http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-5/

Cité par Sources :