On finite unions and finite products with the D-property

Author

Martínez Alonso, Juan Carlos

Other authors

Centre de Recerca Matemàtica

Publication date

2010-12



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.

Document Type

Preliminary Edition

Language

English

CDU Subject

515.1 - Topology

Subject

Topologia

Pages

10

161912 bytes

Publisher

Centre de Recerca Matemàtica

Collection

Prepublicacions del Centre de Recerca Matemàtica; 985

Documents

Pr985.pdf

158.1Kb

 

Rights

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