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Generalized homogeneity of curves and a question of H. Kato. (English) Zbl 0767.54030
A space \(X\) is said to be homogeneous with respect to open maps provided that for each two points \(p\) and \(q\) of \(X\) there is an open map \(f\) of \(X\) onto itself such that \(f(p)=q\). A dendroid is an arcwise connected hereditarily unicoherent metric continuum. It is shown that no dendroid is homogeneous with respect to open maps.
MSC:
54F55 Unicoherence, multicoherence
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