Asymptotic arc-components in inverse limits of dendrites.

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dc.contributor.advisor Raines, Brian Edward, 1975- Hamilton, Brent (Brent A.) 2011-08
dc.description.abstract We study asymptotic behavior arising in inverse limit spaces of dendrites. In particular, the inverse limit is constructed with a single unimodal bonding map, for which points have unique itineraries and the critical point is periodic. Using symbolic dynamics, sufficient conditions for two rays in the inverse limit space to have asymptotic parameterizations are given. Being a topological invariant, the classification of asymptotic parameterizations would be a useful tool when determining if two spaces are homeomorphic. en_US
dc.publisher en
dc.rights Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact for inquiries about permission. en_US
dc.subject Topology. en_US
dc.subject Continuum theory. en_US
dc.subject Inverse limits. en_US
dc.subject Dendrites. en_US
dc.title Asymptotic arc-components in inverse limits of dendrites. en_US
dc.type Thesis en_US Ph.D. en_US
dc.rights.accessrights Worldwide access en_US
dc.contributor.department Mathematics. en_US
dc.contributor.schools Baylor University. Dept. of Mathematics. en_US

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