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Precompactness and total boundedness in products of metric spaces

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  • Bart Windels

Abstract

We show that the canonical quantifications of uniform properties such as precompactness and total boundedness, which were already studied by Kuratowski and Hausdorff in the setting of complete metric spaces, can be generalized in the setting of products of metric spaces in an intuitively appealing way.

Suggested Citation

  • Bart Windels, 2001. "Precompactness and total boundedness in products of metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 28, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:871673
    DOI: 10.1155/S016117120100672X
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