"Set-valued functions with Markov property and generalized inverse limits"
Črepnjak, MatevžRecently, various approaches have been introduced to study when two generalized inverse limits are homeomorphic. One of the most common approaches is detecting properties of coordinate spaces and set-valued bonding functions that imply that the corresponding inverse limits are homeomorphic. In the talk, we present such properties of coordinate spaces and set-valued bonding functions. They generalize the properties of well-known Markov functions on intervals. First, we allow the graphs of the bonding functions in the inverse sequence to be 2-dimensional. Then, we allow the coordinate spaces in the inverse sequence to be an arbitrary continuum. In both cases, the results generalize some results of Holte, Banic, Crepnjak, Lunder, Alvin, Kelly, and Imamura. This is joint work with Iztok Banic and Teja Kac.