,"/> The Spaces Whose Products is a <B><EM>D</B></EM> -space

Acta mathematica scientia,Series A

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The Spaces Whose Products is a D -space

Peng Liangxue

  

  1. College of Applied Science, Beijing University of Technology, Beijing 100022
  • Received:2004-10-23 Revised:2005-12-29 Online:2006-10-25 Published:2006-10-25
  • Contact: Peng Liangxue

Abstract: It is known that every C-like space is a D -space, and every regular weakly
θ-refinable C-scattered space is also a D-space.
Is the product of these spaces also a D-space?
In this paper the above question is discussed. It is proved that the finite
product of regular weakly θ-refinable C -scattered
spaces is aD -space, and the countable product
of regular Lindel\"of C-scattered spaces is aD -space

Key words: Weakly θ -refinable, C-scattered space, D -space, ')">Lindel\"of space.

CLC Number: 

  • 54D20
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