𝔖 Bobbio Scriptorium
✦   LIBER   ✦

How many normal measures can ℵ carry?

✍ Scribed by Arthur W. Apter

Book ID
102487096
Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
138 KB
Volume
56
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Relative to the existence of a supercompact cardinal with a measurable cardinal above it, we show that it is consistent for ℵ1 to be regular and for ℵω 1 +1 to be measurable and to carry precisely τ normal measures, where τ ≥ ℵω 1 +2 is any regular cardinal. This extends the work of [2], in which the analogous result was obtained for ℵω+1 using the same hypotheses.

📜 SIMILAR VOLUMES

How Many Squares Can a String Contain?
How Many Squares Can a String Contain?
✍ Aviezri S. Fraenkel; Jamie Simpson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 241 KB

All our words (strings) are over a fixed alphabet. A square is a subword of the form uu=u 2 , where u is a nonempty word. Two squares are distinct if they are of different shape, not just translates of each other. A word u is primitive if u cannot be written in the form u=v j for some j 2. A square