Ultrafilters (with dense elements) over closure spaces

• Autorzy: Hinnion R.
• Języki publikacji: EN

Abstrakty

EN

Several notions and results that are useful for directed sets (and their applications) can be extended to the more general context of closure spaces; inter alia the so-called "finite intersection property" and the existence of special ultrafilters (namely ultrafilters which elements are dense) on such structures.

• Wydawca: Wydawnictwo Uniwersytetu Jagiellońskiego
• Czasopismo: Reports on Mathematical Logic
• Rocznik: 2012
• Tom: Vol. 47
• Strony: 115--124
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Hinnion R.

• Université Libre de Bruxelles,

Bibliografia

• [1] C.C. Chang and H.J. Keisler, Model Theory, North-Holland 1973.
• [2] O. Esser and R. Hinnion, Large cardinals and ramifiability for directed sets, Mathematical Logic Quarterly 46 (2000), pp. 25–34.
• [3] O. Esser and R. Hinnion, Combinatorial criteria for ramifiable ordered sets, Mathematical Logic Quarterly 47 (2001), pp. 539–555.
• [4] O. Esser and R. Hinnion, Tree-properties for ordered sets, Mathematical Logic Quarterly 48 (2002), pp. 213–219.
• [5] R. Hinnion, Directed sets and Malitz-Cauchy completions, Mathematical Logic Quarterly 43 (1997), pp. 465–484.
• [6] R. Hinnion, Ramifiable directed sets, Mathematical Logic Quarterly 44 (1998),pp. 216–228.
• [7] R. Hinnion, A general Cauchy-completion process, Logique & Analyse 197 (2007),pp. 5–41.