Displaying similar documents to “Terminal continua and the homogeneity”

1/2-Homogeneous hyperspace suspensions

Sergio Macías, Patricia Pellicer-Covarrubias (2012)

Colloquium Mathematicae

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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.

Continuous mappings on continua II

T. Maćkowiak, E. D. Tymchatyn

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CONTENTSIntroduction......................................................................................51. General notion of aposyndesis....................................................62. Relation T for special families......................................................83. Properties of T.............................................................................94. T-aposyndesis in homogeneous continua..................................115. Colocal connectedness and T-aposyndesis...............................136....