Connected metrizable subtopologies and partitions into copies of the Cantor set

Connected metrizable subtopologies and partitions into copies of the Cantor set

We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without isolated points is the union of 2ω pairwise d...

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Bibliographic Details
Main Author: Irina Druzhinina
Format: Article
Language:English
Published: Universitat Politècnica de València 2006-10-01
Series:Applied General Topology
Subjects:
Metrizable space
Completely metrizable space
Condensation
Connected metrizable subtopology
Cantor set
Zero-dimensional space
Martin’s Axiom
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1919

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1919

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