Compounding Objects
Bulletin of the Section of Logic (2020)
- Volume: 49, Issue: 2
- ISSN: 0138-0680
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topZvonimir Šikić. "Compounding Objects." Bulletin of the Section of Logic 49.2 (2020): null. <http://eudml.org/doc/295514>.
@article{ZvonimirŠikić2020,
abstract = {We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which is actually unconvincing in the case of ultrafilters. As a bonus, we get a very simple proof of Łoś's theorem.},
author = {Zvonimir Šikić},
journal = {Bulletin of the Section of Logic},
keywords = {Łoś's theorem; converse of Łoś's theorem; filter; proper filter; ultrafilter},
language = {eng},
number = {2},
pages = {null},
title = {Compounding Objects},
url = {http://eudml.org/doc/295514},
volume = {49},
year = {2020},
}
TY - JOUR
AU - Zvonimir Šikić
TI - Compounding Objects
JO - Bulletin of the Section of Logic
PY - 2020
VL - 49
IS - 2
SP - null
AB - We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which is actually unconvincing in the case of ultrafilters. As a bonus, we get a very simple proof of Łoś's theorem.
LA - eng
KW - Łoś's theorem; converse of Łoś's theorem; filter; proper filter; ultrafilter
UR - http://eudml.org/doc/295514
ER -
References
top- [1] J. M. Łoś, Quelques Remarques, Théorèmes Et Problèmes Sur Les Classes Définissables D'algèbres, Studies in Logic and the Foundations of Mathematics, vol. 16 (1955), Mathematical Interpretation of Formal Systems, pp. 98–113.
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