Extensional Maps

dc.contributor.advisor	Rubin, Leonard
dc.contributor.author	Lynam, Matthew
dc.contributor.committeeMember	Miller, Andy
dc.contributor.committeeMember	Zhu, Meijun
dc.contributor.committeeMember	Forester, Max
dc.contributor.committeeMember	Davidson, Tim
dc.date.accessioned	2014-05-12T13:44:52Z
dc.date.available	2014-05-12T13:44:52Z
dc.date.issued	2014-05-09
dc.date.manuscript	2014-04
dc.description.abstract	In a recent paper, Ziga Virk defined a type of continuous map which preserves extension properties. We generalize this notion and call such maps extensional maps. In this paper we will establish many of the basic properties of extensional maps. We will then show that extensional maps are preserved by the limit of an inverse system. Finally, there is a generalization of inverse systems called approximate inverse systems, due to Marde si c and Rubin. We will prove several new results concerning these approximate systems, and then show that extensional maps are preserved by the limit of an approximate system as well.	en_US
dc.identifier.uri	http://hdl.handle.net/11244/10391
dc.language	en_US	en_US
dc.subject	Mathematics.	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	Extensional Maps	en_US
ou.group	College of Arts and Sciences::Department of Mathematics