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THE D-PROPERTY AND THE SORGENFREY LINE
Published online by Cambridge University Press: 08 June 2009
Abstract
We show that for the Sorgenfrey line S, the minimal dense linearly ordered extension of S is a D-space, but not a monotone D-space; the minimal closed linearly ordered extension of S is not a monotone D-space; the monotone D-property is inversely preserved by finite-to-one closed mappings, but cannot be inversely preserved by perfect mappings.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 80 , Issue 2 , October 2009 , pp. 233 - 236
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2009
Footnotes
The project is supported by NSFC (No.10571081).
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