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Stationary subspaces in ordered spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
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In this paper, we shall characterise the B(k)-property in generalised ordered (GO) spaces as follows.
For every uncountable regular cardinal K, every GO space has the B(K)-property if and only if it has no closed subspace which is homeomorphic to a stationary set in K (with the subspace topology in K).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 381 - 387
- Copyright
- Copyright © Australian Mathematical Society 1989
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