There Are No Infinite Order Polynomially Complete Lattices after All
نویسنده
چکیده
If L is a lattice with the interpolation property whose cardinality is a strong limit cardinal of uncountable cofinality, then some finite power L has an antichain of size κ. Hence there are no infinite opc lattices. However, the existence of strongly amorphous sets implies (in ZF) the existence of infinite opc lattices.
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تاریخ انتشار 1998