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Compactness and ordinals
Published online by Cambridge University Press: 18 May 2009
Extract
If p and q are cardinal numbers and E is a topological space, then the following property may or may not hold:
Every cover of Eby fewer than q open sets has a subcover by fewer than pof them. (1)
Clearly these properties, for various numbers p and q, are far from being independent; in this paper, we investigate some of the interrelationships between them.
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- Copyright © Glasgow Mathematical Journal Trust 1972