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65th Workshop on General Algebra, 18th Conference for Young Algebraists
March 21-23, 2003
University of Potsdam
Potsdam, Germany

Organizers
Klaus Denecke, Jörg Koppitz

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Clones from filters
by
Martin Goldstern
TU Wien

There is a natural map that assigns to each uniform filter F on the natural numbers N a clone C(F) on N. The unary part of C(F) is generated by the functions h(A), A in F, where h(A) is the function h(A)(n) = min (k in A: k > n).

I will investigate clones generated by this map. In a recent paper with Shelah we have constructed an ultrafilter U such that the interval of clones above C(U) is large and has no coatoms.

Date received: January 28, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-24.