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- W2953384815 abstract "We show that in a stable first-order theory, the failure of higher-dimensional type amalgamation can always be witnessed by algebraic structures which we call n-ary polygroupoids. This generalizes a result of Hrushovski that failures of 4-amalgamation in stable theories are witnessed by definable groupoids (which are 2-ary polygroupoids in our terminology). The n-ary polygroupoids are definable in a mild expansion of the language (adding a unary predicate for an infinite Morley sequence)." @default.
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- W2953384815 date "2014-04-05" @default.
- W2953384815 modified "2023-09-27" @default.
- W2953384815 title "Type-amalgamation properties and polygroupoids in stable theories" @default.
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