R. A. Popkov, S. V. Sudoplatov, “Operators generating Rudin–Keisler preorders in the class of theories with continuum many types”, Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 2,Pages <nobr>48

Operators generating Rudin–Keisler preorders in the class of theories with continuum many types

R. A. Popkov^a, S. V. Sudoplatov^bac

^a Novosibirsk State Technical University, 20, K. Marx Avenue, Novosibirsk, 630073
^b Sobolev Institute of Mathematics SB RAS, 4, Academician Koptyug Avenue, Novosibirsk, 630090
^c Novosibirsk State University, 2, Pirogova street, Novosibirsk, 630090

Abstract: We construct an operator on the class of countable complete theories with continuum many types, generating Rudin–Keisler preorders with arbitrary countable restrictions.

Keywords: theory with continuum many types; Rudin–Keisler Preorder; generating operator.

UDC: 510.67