RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 AND (N-1) .1.

被引：45

作者：

LOPEZ, G ^{[1
]}

RAUZY, C ^{[1
]}

机构：

[1] UNIV PROVENCE, F-13001 MARSEILLE, FRANCE

来源：

ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK | 1992年 / 38卷 / 01期

关键词：

RECONSTRUCTIBILITY OF RELATIONS; RECONSTRUCTION CONJECTURE;

D O I：

10.1002/malq.19920380104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页码：27 / 37

页数：11

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