Staff Members - Benha University
GT21/2-spaces, GT5-spaces and GT6-spaces, Submitted to: Journal of King Saud University, www.ksu.edu.sa.
• 1950
Publication Information
Authors
-Ismail Ibedou
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publication.type
Local
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Abstract
In this paper we obtain a modified version of the classical theorem of Pontrjagin
and Schnirelmann concerning the covering dimension of a compact metric space and
the box-counting dimensions associated with the metrics on the space. T. Miyata and T.
Watanabe defined box-counting dimension for approximate sequences X which represent
compact metric spaces X as approximate resolutions p : X → X. We show that the
covering dimension equals the infimum of the box-counting dimensions associated with
the approximate resolutions of the space.
and Schnirelmann concerning the covering dimension of a compact metric space and
the box-counting dimensions associated with the metrics on the space. T. Miyata and T.
Watanabe defined box-counting dimension for approximate sequences X which represent
compact metric spaces X as approximate resolutions p : X → X. We show that the
covering dimension equals the infimum of the box-counting dimensions associated with
the approximate resolutions of the space.