ORDER
2002
13 years 11 months ago
2002
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...
ORDER
2002
13 years 11 months ago
2002
ORDER
2002
13 years 11 months ago
2002
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, ...
ORDER
2002
13 years 11 months ago
2002
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...
ORDER
2002
13 years 11 months ago
2002
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...
ORDER
2002
13 years 11 months ago
2002
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...
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2002
13 years 11 months ago
2002
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...
ORDER
2002
13 years 11 months ago
2002
: 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...
ORDER
2002
13 years 11 months ago
2002
ORDER
2002
13 years 11 months ago
2002
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 ...