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almost chainable

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

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-02-21