Inverse limits with irreducible set-valued functions.

dc.contributor.advisor	Ryden, David James, 1971-
dc.creator	Kelly, James Pierre, 1988-
dc.date.accessioned	2015-05-22T15:23:46Z
dc.date.available	2015-05-22T15:23:46Z
dc.date.created	2015-05
dc.date.issued	2015-02-03
dc.date.submitted	May 2015
dc.date.updated	2015-05-22T15:23:46Z
dc.description.abstract	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 characterization of chainability and a characterization of endpoints of inverse limits of certain irreducible functions. Additionally, we develop multiple tools for determining when two inverse limits of irreducible functions are or are not homeomorphic. This culminates in a homeomorphic classification of the inverse limits of four specific families of irreducible functions.
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/2104/9306
dc.language.iso	en
dc.rights.accessrights	Worldwide access.
dc.subject	Inverse limit. Set-valued. Upper semi-continuous. Continuum. Chainable. Indecomposable.
dc.title	Inverse limits with irreducible set-valued functions.
dc.type	Thesis
dc.type.material	text
thesis.degree.department	Baylor University. Dept. of Mathematics.
thesis.degree.grantor	Baylor University
thesis.degree.level	Doctoral
thesis.degree.name	Ph.D.