Now showing items 1-3 of 3

  • Indecomposability in inverse limits. 

    Williams, Brian R. (Brian Robert), 1982- (2010-10-08)
    Topological inverse limits play an important in the theory of dynamical systems and in continuum theory. In this dissertation, we investigate classical inverse limits of Julia sets and set-valued inverse limits of arbitrary ...
  • Inverse limits of set-valued functions. 

    Cornelius, Alexander Nelson. (2009-08-26)
    Much is known about inverse limits of compact spaces with continuous bonding maps. When the requirement that the bonding maps be continuous functions is relaxed, to allow for upper semi-continuous set-valued functions, ...
  • Inverse limits with irreducible set-valued functions. 

    Kelly, James Pierre. 1988- (2015-02-03)
    We define a class of set-valued functions called irreducible functions and show that their inverse limits are indecomposable continua. We go on to further explore this class of inverse limit spaces. This includes a ...