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.
PhD thesis, AGH University of Science and Technology, Faculty of Applied Mathematics, Kraków, Poland
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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.