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Monotone Metric Spaces

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Abstract

A metric space (X, d) is called monotone if there is a linear order < on X and a constant c such that d(x, y) ⩽ c d(x, z) for all x < y < z in X. Topological properties of monotone metric spaces and their countable unions are investigated.

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Correspondence to Ondřej Zindulka.

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The first author was supported by Department of Education of the Czech Republic, research project BA MSM 6840770010. The second author was supported by Department of Education of the Czech Republic, research project BA MSM 210000010.

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Nekvinda, A., Zindulka, O. Monotone Metric Spaces. Order 29, 545–558 (2012). https://doi.org/10.1007/s11083-011-9221-5

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  • DOI: https://doi.org/10.1007/s11083-011-9221-5

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