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Two real ultrafilters on ω

✍ Scribed by Alan Dow; Jinyuan Zhou

Book ID
104295482
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
75 KB
Volume
97
Category
Article
ISSN
0166-8641

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✦ Synopsis

We prove the following results concerning the space ω ∪ {p}, where p is an ultrafilter on ω: (i) There are ultrafilters p on ω with the property that every compactification of ω ∪ {p} contains a copy of βω.

(ii) There is an ultrafilter p on ω with a strong Noetherian base, i.e., every member of the base is contained, mod finite, in only finitely many others.

📜 SIMILAR VOLUMES

Two Remarks on Partitions of ω with Fini
Two Remarks on Partitions of ω with Finite Blocks
✍ Stanislav Krajči 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 353 KB

## Abstract We prove that all algebras __P__(__w__)__/I__~R~, where the __I__~R~‐'s are ideals generated by partitions of W into finite and arbitrary large elements, are isomorphic and homogeneous. Moreover, we show that the smallest size of a tower of such partitions with respect to the eventually