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Some problems of regularity of \(f\)-quasimetrics

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Publication:1669752
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zbMath1401.54013MaRDI QIDQ1669752

Aleksandr Valer'evich Greshnov

Publication date: 4 September 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)


zbMATH Keywords

convergencedistance functionweak symmetryseparation axiomsopen set\(f\)-quasimetricinterior and closure of a set


Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)


Related Items (1)

On finding the exact values of the constant in a \((1,q_2)\)-generalized triangle inequality for box-quasimetrics on 2-step Carnot groups with 1-dimensional center




Cites Work

  • Unnamed Item
  • Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points
  • The tangent cone to a quasimetric space with dilations
  • Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics
  • Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces
  • On Quasi-Metric Spaces




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