We generalize the concept of w-compactness to involve infinite cardinals. A space is w(alfa)-compact iff for each open cover U of X there exists a subfamily V of U, cardV<alfa, the union of which is r-dense (dense in the topology created by continuous functions on X). For completely regular spaces the concept coincides with weak alfa-compactness.
On w(alpha)-compactness
FEDELI A;TOZZI, Anna
1992-01-01
Abstract
We generalize the concept of w-compactness to involve infinite cardinals. A space is w(alfa)-compact iff for each open cover U of X there exists a subfamily V of U, cardVFile in questo prodotto:
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