Compounding Objects

• Autorzy: Zvonimir Šikić
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Łoś's theorem; converse of Łoś's theorem; filter; proper filter; ultrafilter

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2020
• Tom: 49
• Numer: 2

Daty

wydano

2020-06-30

Twórcy

autor

Zvonimir Šikić

• University of Zagreb

Bibliografia

• [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.

Identyfikatory

DOI

10.18778/0138-0680.2020.10