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Stationary subspaces in ordered spaces

Published online by Cambridge University Press:  17 April 2009

Nobuyuki Kemoto
Nobuyuki Kemoto
Affiliation:
Department of Mathematics, Faculty of Education, Oita University, Dannoharu Oita 870-11, Japan
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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

References

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