A lambda-dendroid with two shore points whose union is not a shore set |
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Authors: | Pavel Pyrih Benjamin Vejnar |
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Affiliation: | Charles University, Sokolovská 83, CZ-186 75 Prague 8, Czech Republic |
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Abstract: | A subset of a given continuum is called a shore set if there is a sequence of continua in the complement of this set converging to the whole continuum with respect to the Hausdorff metric. A point is called a shore point if the one point set containing this point is a shore set. We present several examples of a lambda-dendroid which contains two disjoint shore continua whose union is not a shore set. This answers a question of Van C. Nall in negative. |
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Keywords: | primary, 54F15 secondary, 54G20 |
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