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ORDER
2002
154views more  ORDER 2002»
13 years 10 months ago
Polyadic Concept Analysis
The framework and the basic results of Wille on triadic concept analysis, including his Basic Theorem of Triadic Concept Analysis, are here generalized to n-dimensional formal cont...
George Voutsadakis
ORDER
2002
73views more  ORDER 2002»
13 years 10 months ago
Antichains in Products of Linear Orders
We show that: (1) For many regular cardinals (in particular, for all successors of singular strong limit cardinals, and for all successors of singular -limits), for all n {2, 3, ...
Martin Goldstern, Saharon Shelah
ORDER
2002
107views more  ORDER 2002»
13 years 10 months ago
Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
Nathan Reading
ORDER
2002
90views more  ORDER 2002»
13 years 10 months ago
Radical Classes of Lattice-Ordered Groups vs. Classes of Compact Spaces
For a given class T of compact Hausdorff spaces, let Y(T ) denote the class of -groups G such that for each g G, the Yosida space Y (g) of g belongs to T . Conversely, if R is a c...
Michael R. Darnel, Jorge Martinez
ORDER
2002
87views more  ORDER 2002»
13 years 10 months ago
Posets on up to 16 Points
In this article we describe a very efficient method to construct pairwise nonisomorphic posets (equivalently, T0 topologies). We also give the results obtained by a computer progr...
Gunnar Brinkmann, Brendan D. McKay
ORDER
2002
90views more  ORDER 2002»
13 years 10 months ago
The Priestley Separation Axiom for Scattered Spaces
Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in th...
Guram Bezhanishvili, Ray Mines, Patrick J. Morandi
ORDER
2002
74views more  ORDER 2002»
13 years 10 months ago
Lines, Trees, and Branch Spaces
: In this paper we examine the interactions between the topology of certain linearly ordered topological spaces (LOTS) and the properties of trees in whose branch spaces they embed...
Harold Bennett, David Lutzer, Mary Ellen Rudin
ORDER
2002
69views more  ORDER 2002»
13 years 10 months ago
Ohkuma Structures
Michèle Giraudet, W. Charles Holland
ORDER
2002
104views more  ORDER 2002»
13 years 10 months ago
Partially Well-Ordered Closed Sets of Permutations
It is known that the "pattern containment" order on permutations is not a partial well-order. Nevertheless, many naturally defined subsets of permutations are partially ...
Mike D. Atkinson, Max Murphy, Nikola Ruskuc