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. ...