Squares, scales and lines
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918144954597376 |
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| author | Cummings, James |
| author_facet | Cummings, James |
| contents | We use hypotheses from PCF theory to construct a linear ordering
which has cardinality the successor of a singular cardinal of countable cofinality, and is
incompact in the following sense: the ordering is not sigma-scattered,
but every smaller subordering is sigma-wellordered. Such orderings were
first constructed by Todorcevic using Jensen's square principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Squares, scales and lines Cummings, James Logic 03E35 (Primary) (Secondary) 06A05 We use hypotheses from PCF theory to construct a linear ordering which has cardinality the successor of a singular cardinal of countable cofinality, and is incompact in the following sense: the ordering is not sigma-scattered, but every smaller subordering is sigma-wellordered. Such orderings were first constructed by Todorcevic using Jensen's square principle. |
| title | Squares, scales and lines |
| topic | Logic 03E35 (Primary) (Secondary) 06A05 |
| url | https://arxiv.org/abs/2509.16755 |