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The Lindelöf degree of scattered spaces and their products

Part of: Basic constructions Fairly general properties

Published online by Cambridge University Press:  09 April 2009

Marlene E. Gewand
Marlene E. Gewand
Affiliation:
Lockheed Missiles and Space Co., Inc. 1111 Lockheed Way 0/81-15, B/157 Sunnyvale, California 94086, U.S.A.
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Abstract

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Different methods are used to show that a finite or countable product of Lindelöf scattered spaces is Lindelöf. Also, a technique of Kunen is modified to yield results concerning the Lindelöf degree of the Gδ and Gα-topologies on the countable product of compact scattered spaces.

Keywords

Lindelöf degreescattered spacesproductGδ-topologycompacttotally Lindelöfp-space.

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.) 54B10: Product spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 1 , August 1984 , pp. 98 - 105
Copyright
Copyright © Australian Mathematical Society 1984

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