Product metrics and boundedness

Gerald Beer

Abstract

This paper looks at some possible ways of equipping a countable product of unbounded metric spaces with a metric that acknowledges the boundedness characteristics of the factors.

Keywords

Product metric; Metric of uniform convergence; Bornology; Convergence to infinity

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References

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1. S-topologies and bounded convergences
Gerald Beer, Som Naimpally, Jesús Rodríguez-López
Journal of Mathematical Analysis and Applications  vol: 339  issue: 1  first page: 542  year: 2008  
doi: 10.1016/j.jmaa.2007.07.010



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Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt