AbstractLet E be an arbitrary set and ϱ a function from P(E) into the class of cardinals. Necessary and sufficient conditions are given for ϱ to be the rank function of an independence structure. This axiomatic characterization extends Ingleton's result concerning finite ground sets
AbstractLet M = (S, I) be a matroid of finite character on the infinite set S. Let A = 〈A1:i ∈ I〉 be...
AbstractThe notion of closure structures of finite rank is introduced and several closure structures...
AbstractWe indicate certain connections between the rank and cardinality of a finite closure structu...
AbstractLet E be an arbitrary set and ϱ a function from P(E) into the class of cardinals. Necessary ...
We characterize those functions that are the rank functions of closure spaces of finite rank. In cas...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
AbstractWe characterize those functions that are the rank functions of closure spaces of finite rank...
In a recent paper, Bruhn, Diestel, Kriesell and Wollan present four systems of axioms for infinite m...
By the assistance of an independence space on a set S with finite rank, this paper presents a way to...
Abstract. Let f: X − → Y be a function and let m be an infinite cardinal. Then we say that the rank ...
In 1990 Kechris and Louveau developed the theory of three very natural ranks on the Baire class 1 fu...
Abstract. In this paper, we obtain asymptotic formulas for an infinite class of rank generat-ing fun...
A new notion of vertex independence and rank for a finite graph G is introduced. The independence of...
The relative rank rank(S : U) of a subsemigroup U of a semigroup S is the minimum size of a set V su...
(eng) We prove some lower bounds for quantifier rank of formulas expressing parity of a finite set I...
AbstractLet M = (S, I) be a matroid of finite character on the infinite set S. Let A = 〈A1:i ∈ I〉 be...
AbstractThe notion of closure structures of finite rank is introduced and several closure structures...
AbstractWe indicate certain connections between the rank and cardinality of a finite closure structu...
AbstractLet E be an arbitrary set and ϱ a function from P(E) into the class of cardinals. Necessary ...
We characterize those functions that are the rank functions of closure spaces of finite rank. In cas...
AbstractMotivated by the rank-axiomatic definitions of a matroid and Woodall's characterization of i...
AbstractWe characterize those functions that are the rank functions of closure spaces of finite rank...
In a recent paper, Bruhn, Diestel, Kriesell and Wollan present four systems of axioms for infinite m...
By the assistance of an independence space on a set S with finite rank, this paper presents a way to...
Abstract. Let f: X − → Y be a function and let m be an infinite cardinal. Then we say that the rank ...
In 1990 Kechris and Louveau developed the theory of three very natural ranks on the Baire class 1 fu...
Abstract. In this paper, we obtain asymptotic formulas for an infinite class of rank generat-ing fun...
A new notion of vertex independence and rank for a finite graph G is introduced. The independence of...
The relative rank rank(S : U) of a subsemigroup U of a semigroup S is the minimum size of a set V su...
(eng) We prove some lower bounds for quantifier rank of formulas expressing parity of a finite set I...
AbstractLet M = (S, I) be a matroid of finite character on the infinite set S. Let A = 〈A1:i ∈ I〉 be...
AbstractThe notion of closure structures of finite rank is introduced and several closure structures...
AbstractWe indicate certain connections between the rank and cardinality of a finite closure structu...
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