Supersimple theories

Journal of the American Mathematical Society - Tập 14 Số 1 - Trang 109-124
Steven Buechler1, Anand Pillay2, Frank Olaf Wagner3,4
1Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, 46556-5683
2Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
3Institut Girard Desargues (Lyon I), Université Claude Bernard, 43, Boulevard du 11 Novembre 1918, 69622 Villeurbanne-Cedex, France
4Mathematical Institute, Oxford University, Oxford, England

Tóm tắt

We prove elimination of hyperimaginaries in supersimple theories. This means that if an equivalence relation on the set of realisations of a complete type (in a supersimple theory) is defined by a possibly infinite conjunction of first order formulas, then it is the intersection of definable equivalence relations.

Từ khóa


Tài liệu tham khảo

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