Compactness of Powers of ω

Paolo Lipparini. "Compactness of Powers of ω." Bulletin of the Polish Academy of Sciences. Mathematics 61.3 (2013): 239-246. <http://eudml.org/doc/281336>.

@article{PaoloLipparini2013,
abstract = {We characterize exactly the compactness properties of the product of κ copies of the space ω 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.},
author = {Paolo Lipparini},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {powers of omega; (finally) compact topological space; infinitary language; ultrafilter convergence; uniform ultrafilter; -nonstandard element; weakly compact cardinal},
language = {eng},
number = {3},
pages = {239-246},
title = {Compactness of Powers of ω},
url = {http://eudml.org/doc/281336},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Paolo Lipparini
TI - Compactness of Powers of ω
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 3
SP - 239
EP - 246
AB - We characterize exactly the compactness properties of the product of κ copies of the space ω 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.
LA - eng
KW - powers of omega; (finally) compact topological space; infinitary language; ultrafilter convergence; uniform ultrafilter; -nonstandard element; weakly compact cardinal
UR - http://eudml.org/doc/281336
ER -