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chainable

A simple chain is a finite sequence L_1, L_2, \cdots,L_n$ of open sets such that L_i$ intersects L_j$ if and only if \vert i-j\vert \leq 1$. The terms of the sequence L_1, L_2, \cdots,L_n$ are called the links of the chain. An \varepsilon$-chain is a chain each of whose links has diameter less than \varepsilon$. a continuum M$ is chainable if, for each positive number \varepsilon$, M$ can be covered by an \varepsilon$-chain.
next up previous contents index
Next: chaotic Up: Definitions Previous: branch point
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30