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T_A (x)$

For each point x$ of a continuum X$ with an arc-structure A$ we define (see [Fugate et al. 1981, I.3, p. 550]) T_A
(x) = \{y \in X: $ each convex subcontinuum of X$ with y$ in its interior contains \; x\}$. Since T_A (x)$ is always closed, we have T_A: X \to 2^X$.


next up previous contents index
Next: terminal continuum Up: Definitions Previous: Suslinean
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30