Concepedia

Introduction to Metric-Preserving Functions

Paul Corazza

American Mathematical Monthly · 1999 · 98 citations · 9 references

DOI

Concepts

Abstract

each metric space (X, d), f ◦ d is still a metric, and, moreover, d and f ◦ d are equivalent metrics?

References

9

Lecture Notes in Mathematics

Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations

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On Certain Types of Continuous Transformations of Metric Spaces

W. A. Wilson · American Journal of Mathematics · 1935 · 57 citations

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ON METRIC PRESERVING FUNCTIONS

Borsík, Doboš · Real Analysis Exchange · 1987 · 44 citations

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Van der Waerden's Continuous Nowhere Differentiable Function

Patrick Billingsley · American Mathematical Monthly · 1982 · 42 citations

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On the boundedness and continuity of convex functions and additive functions

Roman Ger, Marek Kuczma · Aequationes Mathematicae · 1970 · 35 citations

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