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Remark on a theorem of D. H. Fremlin concerning K-analytic Hausdorff spaces

Published online by Cambridge University Press:  20 January 2009

Keith J. Devlin
Keith J. Devlin
Affiliation:
University of Lancaster
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At the 29th Meeting of the British Mathematical Colloquium held at Edinburgh in March 1977, D. H. Fremlin announced the following result.

Let Φ denote the proposition that there exists a K-analytic Hausdorff space, having metrizable compacta, which is not Souslin. (We refer the reader to Fremlin's paper (1) for the relevant definitions)

Theorem 1.1. (Fremlin) (i) Assume . (ii) Assume Martin's Axiom together with . Then Φ is false.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 1 , February 1979 , pp. 3 - 8
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

(1) Fremlin, D. H., In preparation.Google Scholar
(2) Jech, T., Lectures in Set Theory (Springer Lecture Notes 217, 1971).Google Scholar