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Dimension invariance of subdivisions

Published online by Cambridge University Press:  17 April 2009

Jeh Gwon Lee ,
Wei-Ping Liu ,
Richard Nowakowski  and
Ivan Rival
Jeh Gwon Lee
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121–742, Korea
Wei-Ping Liu
Affiliation:
Department of Mathematics, Dalhousie University, Halifax, B3H 4H8, Canada
Richard Nowakowski
Affiliation:
Department of Computer Science, University of Ottawa, K1N 6N5, Canada
Ivan Rival
Affiliation:
Department of Computer Science, University of Ottawa, K1N 6N5, Canada
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Abstract

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The dimension of an ordered set is invariant with respect to any subdivision of its completion. This may be applied to support the conjecture (still open) that the problem to determine the (order) dimension of an N-free ordered set is NP-complete.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 141 - 150
Copyright
Copyright © Australian Mathematical Society 2001

References

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