Elsevier

Discrete Mathematics

Volume 183, Issues 1–3, 15 March 1998, Pages 213-221
Discrete Mathematics

Contribution
Isomorphic ANTI-cores of caccc posets — an improvement

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Abstract

It was proved in Li and Milner (1996) that for a connected caccc poset which does not contain a one-way infinite fence, any two ANTI-perfect sequences have the same length and any two ANTI-cores are isomorphic. In the present paper we give a new proof of this result under the weaker assumption that the poset is caccc; the conditions that the poset be connected and contain no one-way infinite fence are not required.

Keywords

Caccc poset
ANTI-order
ANTI-perfect sequence
ANTI-core

Cited by (0)

1

This paper was written while this author was visiting the University of Calgary. Supported by grants from The National Natural Science Foundation of China and The National Education Committee of China for scholars returning from abroad.

†

Sadly, the author passed away on July 20, 1997.

3

Research supported by NSERC grant #69–0982.

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