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On composants of solenoids

Ronald de Man (1995)

Fundamenta Mathematicae

It is proved that any two composants of any two solenoids are homeomorphic.

On confluently graph-like compacta

Lex G. Oversteegen, Janusz R. Prajs (2003)

Fundamenta Mathematicae

For any class 𝒦 of compacta and any compactum X we say that: (a) X is confluently 𝒦-representable if X is homeomorphic to the inverse limit of an inverse sequence of members of 𝒦 with confluent bonding mappings, and (b) X is confluently 𝒦-like provided that X admits, for every ε >0, a confluent ε-mapping onto a member of 𝒦. The symbol 𝕃ℂ stands for the class of all locally connected compacta. It is proved in this paper that for each compactum X and each family 𝒦 of graphs, X is confluently...

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