On some properties of the metric dimension
Ladislav Mišík, Tibor Žáčik (1990)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On the metric dimension of converging sequences”
On some properties of the metric dimension
Two theorems for the -dimensionality of metric spaces
Jun-Iti Nagata (1962-1964)
Compositio Mathematica
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A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.
Marques, Diego (2008)
Annales Mathematicae et Informaticae
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On character of points in the Higson corona of a metric space
Taras O. Banakh, Ostap Chervak, Lubomyr Zdomskyy (2013)
Commentationes Mathematicae Universitatis Carolinae
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We prove that for an unbounded metric space , the minimal character of a point of the Higson corona of is equal to if has asymptotically isolated balls and to otherwise. This implies that under a metric space of bounded geometry is coarsely equivalent to the Cantor macro-cube if and only if and . This contrasts with a result of Protasov saying that under CH the coronas of any two asymptotically zero-dimensional unbounded metric separable spaces are homeomorphic. ...
A note on the transcendence of infinite products
Jaroslav Hančl, Ondřej Kolouch, Simona Pulcerová, Jan Štěpnička (2012)
Czechoslovak Mathematical Journal
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The paper deals with several criteria for the transcendence of infinite products of the form where is a positive algebraic number having a conjugate such that , and are two sequences of positive integers with some specific conditions. The proofs are based on the recent theorem of Corvaja and Zannier which relies on the Subspace Theorem (P. Corvaja, U. Zannier: On the rational approximation to the powers of an algebraic number: solution of two problems of Mahler and Mendès...