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Displaying similar documents to “Containing spaces for planar rational compacta”

Universal rational spaces

J. C. Mayer, E. D. Tymchatyn

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CONTENTS1. Introduction......................................................................52. Rim-type and decompositions..........................................83. Defining sequences and isomorphisms..........................184. Embedding theorem.......................................................265. Construction of universal and containing spaces...........326. References....................................................................39

Extended Ramsey theory for words representing rationals

Vassiliki Farmaki, Andreas Koutsogiannis (2013)

Fundamenta Mathematicae

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Ramsey theory for words over a finite alphabet was unified in the work of Carlson, who also presented a method to extend the theory to words over an infinite alphabet, but subject to a fixed dominating principle. In the present work we establish an extension of Carlson's approach to countable ordinals and Schreier-type families developing an extended Ramsey theory for dominated words over a doubly infinite alphabet (in fact for ω-ℤ*-located words), and we apply this theory, exploiting...

Planar rational compacta

L. Feggos, S. Iliadis, S. Zafiridou (1995)

Colloquium Mathematicae

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In this paper we consider rational subspaces of the plane. A rational space is a space which has a basis of open sets with countable boundaries. In the special case where the boundaries are finite, the space is called rim-finite.

Counting rational points near planar curves

Ayla Gafni (2014)

Acta Arithmetica

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We find an asymptotic formula for the number of rational points near planar curves. More precisely, if f:ℝ → ℝ is a sufficiently smooth function defined on the interval [η,ξ], then the number of rational points with denominator no larger than Q that lie within a δ-neighborhood of the graph of f is shown to be asymptotically equivalent to (ξ-η)δQ².