Displaying similar documents to “A note on the quasi-antiorder in a semigroup.”

Chaotic and hypercyclic properties of the quasi-linear Lasota equation

Cheng-Hung Hung (2015)

Open Mathematics

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In this paper we describe an explicit solution semigroup of the quasi-linear Lasota equation. By constructing the relationship of this solution semigroup with the translation semigroup we obtain some sufficient and necessary conditions for the solution semigroup of the quasi-linear Lasota equation to be hypercyclic or chaotic respectively.

On quasi-p-bounded subsets

M. Sanchis, A. Tamariz-Mascarúa (1999)

Colloquium Mathematicae

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The notion of quasi-p-boundedness for p ∈ ω * is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in ω * can be defined in terms of quasi-p-pseudocompactness. For p ∈ ω * , we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × P R K ( p ) is bounded in X × P R K ( p ) , if and only if c l β ( X × P R K ( p ) ) ( B × P R K ( p ) ) = c l β X B × β ( ω ) , where P R K ( p ) is the set of Rudin-Keisler predecessors of p.

Towards the Construction of a Model of Mizar Concepts

Grzegorz Bancerek (2008)

Formalized Mathematics

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The aim of this paper is to develop a formal theory of Mizar linguistic concepts following the ideas from [14] and [13]. The theory here presented is an abstract of the existing implementation of the Mizar system and is devoted to the formalization of Mizar expressions. The base idea behind the formalization is dependence on variables which is determined by variable-dependence (variables may depend on other variables). The dependence constitutes a Galois connection between opposite poset...