Irreflexive and reflexive dimension

There are three equivalent definitions of dimension for partially ordered sets. When generating these three definitions to C -dimension over an arbitrary class of orders C , the three definitions diverge. We compare these three definitions and determine certain requirements under which they are equi...

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Bibliographic Details
Published in:Discrete Applied Mathematics 1995-06, Vol.60 (1), p.267-273
Main Author: Langley, Larry J.
Format: Article
Language:English
Subjects:
Combinatorics. Ordered structures
Exact sciences and technology
Mathematics
Order, lattices, ordered algebraic structures
Sciences and techniques of general use
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Summary:There are three equivalent definitions of dimension for partially ordered sets. When generating these three definitions to C -dimension over an arbitrary class of orders C , the three definitions diverge. We compare these three definitions and determine certain requirements under which they are equivalent.
ISSN:0166-218X
1872-6771
DOI:10.1016/0166-218X(94)00057-K