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On Uniform Lipschitz-Connectedness in Metric Spaces

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Abstract

We show that the category of uniformly Lipschitz-connected metric spaces and Lipschitz maps is coreflective in the category of Lipschitz-connected metric spaces and Lipschitz maps.

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Authors and Affiliations

  1. Department of Mathematics, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    Dharmanand Baboolal & Paranjothi Pillay

Authors
  1. Dharmanand Baboolal
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  2. Paranjothi Pillay
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Correspondence to Dharmanand Baboolal.

Additional information

A grant from the National Research Foundation (S.A) is gratefully acknowledged.

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Baboolal, D., Pillay, P. On Uniform Lipschitz-Connectedness in Metric Spaces. Appl Categor Struct 17, 487–500 (2009). https://doi.org/10.1007/s10485-008-9141-8

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  • DOI: https://doi.org/10.1007/s10485-008-9141-8

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