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Intersections of α-spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
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