P(R), ordered by homeomorphic embeddability, does not represent all posets of cardinality c2
We prove it to be consistent that there is a poset of cardinality c<sup>2</sup> which is not realizable in P(R), ordered by homeomorphic embeddability. This addresses and answers resolutely (and in the negative) the open question of whether there is a ZFC theorem that all posets of cardi...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2009
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| Subjects: |