Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-15T13:21:00.599Z Has data issue: false hasContentIssue false

The Common Points of Families of Normal Functions

Published online by Cambridge University Press:  20 November 2018

Alexander Abian*
Affiliation:
Iowa State University, Ames, Iowa
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we show that the common points of any nonempty “family“ of normal functions form a normal function and from this we derive various significant consequences such as Theorem 2 below.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Bachmann, H., Transfinite Zahlen (Springer-Verlag, New York, 1967).Google Scholar
2. Abian, A., On inaccessible cardinal numbers, Arch. Math. Logik Grundlagenforsch 12 (1969), 99103.Google Scholar
3. Kuratowski, K. and Mostowski, A., Set theory (North-Holland Pub. Co., Amsterdam, 1968).Google Scholar
4. Levy, A., Axiom schemata of strong infinity, Pacific J. Math. 10 (1960), 223238.Google Scholar
5. Jorgensen, M., An equivalent form of Levy's axiom schema, Proc. Amer. Math. Soc. 26 (1970), 651654.Google Scholar
6. Oakland, D., On the axiom schema of strong infinity (to appear).Google Scholar