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Definable Sets in Ordered Structures. II
Julia F. Knight, Anand Pillay and Charles Steinhorn
Transactions of the American Mathematical Society
Vol. 295, No. 2 (Jun., 1986), pp. 593-605
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2000053
Page Count: 13
You can always find the topics here!Topics: Mathematical theorems, Boundary points, Definable sets, Isomorphism, Continuous functions, Algebra, Open intervals, Quantifier elimination, Topology
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It is proved that any 0-minimal structure M (in which the underlying order is dense) is strongly 0-minimal (namely, every N elementarily equivalent to M is 0-minimal). It is simultaneously proved that if M is 0-minimal, then every definable set of n-tuples of M has finitely many "definably connected components."
Transactions of the American Mathematical Society © 1986 American Mathematical Society