Inverse limits on circles using weakly confluent bonding maps
W. T. Ingram
In this paper we consider the circle-like continua which are inverse limits
on circles using weakly confluent bonding maps.
These include all proper circle-like continua and some indecomposable
chainable continua.
In an attempt to understand the nature of the chainable continua in this
class of continua, we include an investigation of a specific parameterized
family of mappings of [0, 1] which arise from certain weakly confluent,
inessential mappings of the circle.