The homeomorphism group of the hairy arc
On the structure of tranches in continuously irreducible continua
On confluently graph-like compacta
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...
The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets
CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the Menger curve.................................................................................................285....
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