## Abstract We introduce a class of forcing notions, called forcing notions of type __S__, which contains among other Sacks forcing, PrikryβSilver forcing and their iterations and products with countable supports. We construct and investigate some formalism suitable for this forcing notions, which
Some Aspects and Examples of Infinity Notions
β Scribed by J. W. Degen
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 858 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Our main contribution is a formal definition of what could be called a Tβnotion of infinity, for set theories T extending ZF. Around this definition we organize some old and new notions of infinity; we also indicate some easy independence proofs.
Mathematics Subject Classification: 03E25, 03E20.
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