Abstract
We answer a question of M. Pouzet by showing that the Dushnik-Miller dimension of the finite subsets of the infinite cardinal κ ordered by inclusion is log log(κ).
Original language | English (US) |
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Pages (from-to) | 227-231 |
Number of pages | 5 |
Journal | Order |
Volume | 13 |
Issue number | 3 |
State | Published - Dec 1 1996 |
Keywords
- Dimension
- Independent family
- Linear extension
- Ordered set
- Partition relation
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
- Computational Theory and Mathematics