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RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (n - 1) I

✍ Scribed by Gérard Lopez; Claire Rauzy

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
599 KB
Volume
38
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We prove that any binary relation with underlying set (base) E with cardinality n > 6 is reconstructible from its restrictions of cardinality 2, 3, 4 and (n ‐ 1). In part I we characterize relations R and R' on the same base E such that R/X and R'/X are isomorphic for every subset X of E with cardinality 2, 3, 4. In part II we shall prove that R and R' are isomorphic as soon as n > 6 when R/X and R/X' are isomorphic for every subset X of E with cardinality 2, 3, 4 and (n ‐ 1).

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