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Nonexistence of definable Skolem functions in strictly weakly o-minimal non-valuational expansions
Let be a strictly weakly o-minimal non-valuational expansion of an ordered group. A definable Skolem function is a definable choice function for every definable family of nonem…
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Nonexistence of definable choice in strictly weakly o-minimal expansions
Let be a strictly weakly o-minimal expansion of an ordered group. Here, strictly weakly o-minimal means weakly o-minimal but not o-minimal, and definable choice means that ever…