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Clones from creatures
Authors:Martin Goldstern  Saharon Shelah
Institution:Institute of Discrete Mathematics and Geometry, Vienna University of Technology, A-1040 Vienna, Austria ; Institute of Mathematics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel -- and -- Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
Abstract:We show that (consistently) there is a clone $\mathcal{C}$ on a countable set such that the interval of clones above $\mathcal{C}$ is linearly ordered and has no coatoms.

Keywords:Precomplete clones  maximal clones  clones on infinite sets  creature forcing  continuum hypothesis
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