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Intersections of α-spaces

Published online by Cambridge University Press:  09 April 2009

Northrup Fowler III
Northrup Fowler III
Affiliation:
Hamilton CollegeClinton, New York 13323, U.S.A.
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Abstract

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Let be an infinite r.e. repère, an infinite dimensional r.e. space such that ≦ L(). A condition is derived that is both necessary and sufficient for the existence of an infinite subset β ⊂ such that L(β)∪ is not an α-space. Examples which satisfy this condition are exhibited, proving that the class of α-spaces is not closed under intersections.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 4 , November 1975 , pp. 398 - 418
Copyright
Copyright © Australian Mathematical Society 1975

References

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