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For any compact metric space , the *width * of
is the l.u.b. of the set of all real numbers which
satisfy the following condition: for each
,
there exists a finite open cover of such that
and for each chain
which is a subcollection of there is a member
of such that
.

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*