2000 seminar talk: Clones on regular cardinals

Talk held by Martin Goldstern (TU Wien) at the KGRC seminar on 2000-04-04.


A clone on a set X is a set of functions (on any finite arity) which is closed under composition (e.g., f(x,y) and g(x,y) are in the clone, then also g(f(x,z), f(z, y)) is in the clone.) The set of clones on X forms a complete algebraic lattice. I will present some results about this lattice for two cases:

(These are results from a joint paper with Shelah, GoSh:747)

Bottom menu

Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.