On finite unions and finite products with the D-property |
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Authors: | Juan Carlos Martínez |
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Institution: | Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain |
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Abstract: | We show that the product of a subparacompact C-scattered space and a Lindelöf D-space is D. In addition, we show that every regular locally D-space which is the union of a finite collection of subparacompact spaces and metacompact spaces has the D-property. Also, we extend this result from the class of locally D-spaces to the wider class of D-scattered spaces. All the results are shown in a direct way. |
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Keywords: | Property D Lindelö f Subparacompact Metacompact Scattered |
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