RETRACTABILITY AND THE FIXED-POINT PROPERTY FOR PRODUCTS

被引：6

作者：

RUTKOWSKI, A

SCHRODER, BSW

机构：

[1] WARSAW UNIV TECHNOL,INST MATH,PL-00661 WARSAW,POLAND

[2] HAMPTON UNIV,DEPT MATH,HAMPTON,VA 23668

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1994年 / 11卷 / 04期

关键词：

FIXED POINT PROPERTY; RETRACTABLE ELEMENT; CONTRACTILE ELEMENT; PRODUCT; CHAIN COMPLETENESS;

D O I：

10.1007/BF01108767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P, Q be ordered sets and let a is an element of P. If P\{a} is a retract of P and sets P and (x is an element of P: x > p) (or its dual) have the fixed point property then, for each chain complete set P, P x Q has the fixed point property if and only if (P\{a}) x Q has this property. This establishes the fixed point property for some products of ordered sets which are beyond the

引用

页码：353 / 359

页数：7

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