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Ideals of nowhere Ramsey sets are isomorphic

Published online by Cambridge University Press:  12 March 2014

Szymon Plewik
Szymon Plewik*
Affiliation:
Instytut Matematyki, Uniwersytetu Śla̧skiego, 00 007 Katowice, Poland, E-mail: Plewik@gate.math.us.edu.pl
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Abstract

We introduce a notion of ideal type such that any two ideals with the same ideal type are isomorphic. From this we infer, under the axiom t = h, that each ideal which consists of all nowhere Ramsey sets contained in some family of infinite subsets of natural numbers is isomorphic with the ideal of all nowhere Ramsey sets.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 2 , June 1994 , pp. 662 - 667
Copyright
Copyright © Association for Symbolic Logic 1994

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References

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