FRAÏSSÉ LIMITS OF METRIC STRUCTURES
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AbstractWe develop Fraïssé theory, namely the theory of Fraïssé classes and Fraïssé limits, in the context of metric structures. We show that a class of finitely generated structures is Fraïssé if and only if it is the age of a separable approximately homogeneous structure, and conversely, that this structure is necessarily the unique limit of the class, and is universal for it.We do this in a somewhat new approach, in which “finite maps up to errors” are coded by approximate isometries.
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2003 ◽
Vol 50
(1)
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pp. 77-98
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1999 ◽
Vol 173
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pp. 185-188
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1973 ◽
Vol 31
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pp. 698-699
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1985 ◽
Vol 43
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pp. 714-715
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1989 ◽
Vol 47
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pp. 76-77
1968 ◽
Vol 32
(3)
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pp. 279-282