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A continuum is *almost chainable* if, for each
positive number
, there exists an open cover
of with mesh
and a chain of elements of
and an end link of such that no element of
intersects any link of other than and
every point of is at a distance less than
from some link of .

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

*2001-11-30*