ISSN:
1572-9273
Keywords:
06A06
;
Fixed point property
;
retractable element
;
contractible element
;
product
;
chain completeness
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract LetP, Q be ordered sets and leta∈P. IfP \ {a} is a retract ofP and setsP and {x∈P:x〉p} (or its dual) have the fixed point property then, for each chain complete setP,P×Q has the fixed point property if and only if (P\{a})×Q has this property. This establishes the fixed point property for some products of ordered sets which are beyond the reach of all known product theorems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01108767
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