Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903995 | Topology and its Applications | 2018 | 13 Pages |
Abstract
In this paper we introduce the definition of a Markov set-valued function and show that the inverse limits of two similar Markov set-valued functions are homeomorphic. This generalizes results of S. Holte, I. BaniÄ, M. Ärepnjak, and T. Lunder. The definition we present differs from previous definitions of Markov interval functions in that we allow for points outside of the Markov partition to have non-degenerate images. Additionally, our definition focuses on the structure of the inverse of our function; we require that the inverse is a union of continuous mappings with specified restrictions on the domains, ranges, and points of intersection.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Lori Alvin, James P. Kelly,