Some remarks on pseudotrees

Carlos Alós-Ferrer; Klaus Ritzberger

doi:10.1007/s11083-005-9001-1

Some remarks on pseudotrees

Carlos Alós-Ferrer, Klaus Ritzberger

Economics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper provides new results on pseudotrees. First, it is shown that pseudotrees are precisely those posets for which consistent sets, directed sets, and nonempty chains coincide. Second, we show that chain-complete pseudotrees yield complete meet-semilattices. Third, we prove that pseudotrees are precisely those posets that admit a set representation by sets of appropriate chains. This latter result generalizes results needed for applications in game theory and economics.

Original language	English (US)
Pages (from-to)	1-9
Number of pages	9
Journal	Order
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/s11083-005-9001-1
State	Published - Feb 2005

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics

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10.1007/s11083-005-9001-1

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Some remarks on pseudotrees

Abstract

ASJC Scopus subject areas

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