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A continuum X is said to have the property of Kelley
provided that for each point
, for each subcontinuum K of X
containing x and for each sequence of points xn converging to x there
exists a sequence of subcontinua Kn of X containing xn and
converging to the continuum K (see e.g. [64, Definition 16.10, p. 538]).
Janusz J. Charatonik and Pavel Pyrih
2000-09-21