Consistency of the existence of a 4-place function on aleph_2 with no independent subset of size k_n

Mathematics – Logic

Scientific paper

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Scientific paper

It is consistent that there is a set mapping from the four-tuples of omega_n
into the finite subsets with no free subsets of size t_n for some natural
number t_n. For any n< omega it is consistent that there is a set mapping from
the pairs of omega_n into the finite subsets with no infinite free sets.

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