|ISSN 1088-6826(online) ISSN 0002-9939(print)|
The relationships of spans of convex continua in
Abstract: It has been conjectured that for each nonempty connected metric space . In this paper we show that for each convex continuum in . We also show that under certain conditions a lower bound for the ratio is larger than . It has also been conjectured that and that for each nonempty connected metric space . We show that these two inequalities hold when is a convex continuum in .
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