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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2005323075> ?p ?o ?g. }

• W2005323075 abstract "Abstract We present some new results on monotone metric spaces. We prove that every bounded 1-monotone metric space in R d has a finite 1-dimensional Hausdorff measure. As a consequence we obtain that each continuous bounded curve in R d has a finite length if and only if it can be written as a finite sum of 1-monotone continuous bounded curves. Next we construct a continuous function f such that M has a zero Lebesgue measure provided the graph ( f | M ) is a monotone set in the plane. We finally construct a differentiable function with a monotone graph and unbounded variation." @default.
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• W2005323075 date "2014-05-01" @default.
• W2005323075 modified "2023-09-29" @default.
• W2005323075 title "Some results on monotone metric spaces" @default.
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• W2005323075 doi "https://doi.org/10.1016/j.jmaa.2013.12.042" @default.
• W2005323075 hasPublicationYear "2014" @default.
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