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Monotone Functions from Posets Onto ω
Author(s) -
Kale K. A.
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.1.1
Subject(s) - mathematics , monotone polygon , combinatorics , pure mathematics , geometry
We characterise a class of posets (which we call uniform posets) and deduce the following corollary. Define a poset P to have an ω‐ranking function if there exists a monotone increasing mapping from P onto ω Let D and E be posets with bottom elements. Then D × E has an ω‐ranking function if and only if either D or E does.
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