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Abstract We consider inverse limits of sequences of upper semicontinuous set-valued functions f i + 1 : I i + 1 → 2 I i (where I i = [… Click to show full abstract
Abstract We consider inverse limits of sequences of upper semicontinuous set-valued functions f i + 1 : I i + 1 → 2 I i (where I i = [ 0 , 1 ] for each i ∈ N ), for which the graph of each bonding function is an arc. We show that any finite tree can be obtained as such an inverse limit, and one for which each bonding function is one of two specified functions. In addition, we discuss trees of height ω + 1 that can be obtained as the inverse limit of such a sequence.
Keywords:
generalised inverse;
topology;
trees generalised;
inverse limits;
limits intervals
Journal Title: Topology and its Applications
Year Published: 2018
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Journal Title: Topology and its Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!