Displaying similar documents to “Local characterization of algebraic manifolds and characterization of components of the set S f ”

On infinite composition of affine mappings

László Máté (1999)

Fundamenta Mathematicae

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 Let F i = 1 , . . . , N be affine mappings of ℝ n . It is well known that if there exists j ≤ 1 such that for every σ 1 , . . . , σ j ∈ 1 , . . . , N the composition (1) F σ 1 ∘ . . . ∘ F σ j is a contraction, then for any infinite sequence σ 1 , σ 2 , . . . ∈ 1 , . . . , N and any z ∈ ℝ n , the sequence (2) F σ 1 ∘ . . . ∘ F σ n ( z ) is convergent and the limit is independent of z. We prove the following converse result: If (2) is convergent for any z ∈ ℝ n and any σ = σ 1 , σ 2 , . . . belonging to some subshift Σ of N symbols (and the limit is independent of z), then there exists j ≥ 1 such that for every σ = σ 1 , σ 2 , . . . ∈ Σ the composition (1) is a contraction....

Finitely generated almost universal varieties of 0 -lattices

Václav Koubek, Jiří Sichler (2005)

Commentationes Mathematicae Universitatis Carolinae

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A concrete category 𝕂 is (algebraically) if any category of algebras has a full embedding into 𝕂 , and 𝕂 is if there is a class 𝒞 of 𝕂 -objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of 0 -lattices which are almost universal.

Baireness of C k ( X ) for ordered X

Michael Granado, Gary Gruenhage (2006)

Commentationes Mathematicae Universitatis Carolinae

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We show that if X is a subspace of a linearly ordered space, then C k ( X ) is a Baire space if and only if C k ( X ) is Choquet iff X has the Moving Off Property.

On Kelvin type transformation for Weinstein operator

Martina Šimůnková (2001)

Commentationes Mathematicae Universitatis Carolinae

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The note develops results from [5] where an invariance under the Möbius transform mapping the upper halfplane onto itself of the Weinstein operator W k : = Δ + k x n ∂ ∂ x n on ℝ n is proved. In this note there is shown that in the cases k ≠ 0 , k ≠ 2 no other transforms of this kind exist and for case k = 2 , all such transforms are described.