Semantic Scholar Open Access 2003 122 sitasi

Extensions with the approximation and cover properties have no new large cardinals

J. Hamkins

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Abstrak

If an extension Vbar of V satisfies the delta approximation and cover properties for classes and V is a class in Vbar, then every suitably closed embedding j:Vbar to Nbar in Vbar with critical point above delta restricts to an embedding j|V:V to N amenable to the ground model V. In such extensions, therefore, there are no new large cardinals above delta. This result extends work in math.LO/9808011.

Topik & Kata Kunci

Mathematics

Penulis (1)

J. Hamkins

Format Sitasi

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Hamkins, J. (2003). Extensions with the approximation and cover properties have no new large cardinals. https://doi.org/10.4064/fm180-3-4

Akses Cepat

Lihat di Sumber doi.org/10.4064/fm180-3-4

Informasi Jurnal

Tahun Terbit: 2003
Bahasa: en
Total Sitasi: 122×
Sumber Database: Semantic Scholar
DOI: 10.4064/fm180-3-4
Akses: Open Access ✓