On chains and posets within the power set of a continuum
Transfinite induction is employed to construct a copy of an arbitrary partially-ordered set of cardinality at most c within the power set (quasi-ordered by sub-chain embeddability) of the real line.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129500038X |
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Article |
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doaj-6db6f8bd29a34af281d0ada042a6aeb32020-11-24T22:38:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118230530910.1155/S016117129500038XOn chains and posets within the power set of a continuumP. T. Matthews0T. B. M. McMaster1Pure Mathematics Department, Queen's University, Belfast BT7 1NN, IrelandPure Mathematics Department, Queen's University, Belfast BT7 1NN, IrelandTransfinite induction is employed to construct a copy of an arbitrary partially-ordered set of cardinality at most c within the power set (quasi-ordered by sub-chain embeddability) of the real line.http://dx.doi.org/10.1155/S016117129500038Xpartially-ordered setsub-chain embeddabilityreal line. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. T. Matthews T. B. M. McMaster |
| spellingShingle |
P. T. Matthews T. B. M. McMaster On chains and posets within the power set of a continuum International Journal of Mathematics and Mathematical Sciences partially-ordered set sub-chain embeddability real line. |
| author_facet |
P. T. Matthews T. B. M. McMaster |
| author_sort |
P. T. Matthews |
| title |
On chains and posets within the power set of a continuum |
| title_short |
On chains and posets within the power set of a continuum |
| title_full |
On chains and posets within the power set of a continuum |
| title_fullStr |
On chains and posets within the power set of a continuum |
| title_full_unstemmed |
On chains and posets within the power set of a continuum |
| title_sort |
on chains and posets within the power set of a continuum |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| description |
Transfinite induction is employed to construct a copy of an arbitrary partially-ordered
set of cardinality at most c within the power set (quasi-ordered by sub-chain
embeddability) of the real line. |
| topic |
partially-ordered set sub-chain embeddability real line. |
| url |
http://dx.doi.org/10.1155/S016117129500038X |
| work_keys_str_mv |
AT ptmatthews onchainsandposetswithinthepowersetofacontinuum AT tbmmcmaster onchainsandposetswithinthepowersetofacontinuum |
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1725710983432765440 |