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Title:
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On finite unions and finite products with the D-property
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Author:
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Martínez Alonso, Juan Carlos
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Other authors:
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Centre de Recerca Matemàtica |
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Resum:
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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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Publication date:
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2010-12 |
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Subject (UDC):
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515.1 - Topologia |
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Subject(s):
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Topologia |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Preprint |
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