The authors prove quasi-graphs and generalized sin(1/x)-type continua are incomparable, introduce tranched graphs as their common generalization, and describe resulting restrictions on dynamics.
Minimal sets on continua with a dense free interval.J.Math.Anal.Appl., 517(1):Paper No
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Tranched graphs: consequences for topology and dynamics
The authors prove quasi-graphs and generalized sin(1/x)-type continua are incomparable, introduce tranched graphs as their common generalization, and describe resulting restrictions on dynamics.