The core of a chain complete poset with no one-way infinite fence and no tower |
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Authors: | Boyu Li |
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Institution: | (1) Northwestern University, Xi'an, Shaanxi, P.R. of China |
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Abstract: | Like dismantling for finite posets, a perfect sequence = P
: of a chain complete posetP represents a canonical procedure to produce a coreP
. It has been proved that if the posetP contains no infinite antichain then this coreP
is a retract ofP andP has the fixed point property iffP
has this property. In this paper the condition of having no infinite antichain is replaced by a weaker one. We show that the same conclusion holds under the assumption thatP does not contain a one-way infinite fence or a tower.Supported by a grant from The National Natural Science Foundation of China. |
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Keywords: | 06A06 |
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