Home
Resource
A construction of the Stone–Čech Compactification and dynamical applications
PDF
PDF format is widely accepted and good for printing.
Plug-in required
PDF-1(277.50 kb)
Citation & Export
View Usage Statistics
Staff View

Citation & Export
Hide

Simple citation

Salvatore, Nicholas. A construction of the Stone–Čech Compactification and dynamical applications. Retrieved from https://doi.org/doi:10.7282/T3C82DNH

Export

Click here for information about Citation Management Tools at Rutgers.

Statistics
Hide

Description

TitleA construction of the Stone–Čech Compactification and dynamical applications
NameSalvatore, Nicholas (author); Nerurkar, Mahesh (chair); Rutgers University; Camden Graduate School
Date Created2018
Other Date2018-05 (degree)
SubjectMathematics, Stone-Čech compactification
Extent1 online resource (iii, 28 p.)
DescriptionThe ultimate goal of this thesis is to present how the Stone–Čech Compactification can be used to capture the asymptotic behavior of dynamical systems. We will first cover preliminary definitions and properties of dynamical systems and $varepsilon$-semigroups. Then we will construct the Stone-Cech compactification using ultrafilters. The final section will recharacterize the dynamical structures in the first section in terms of the Stone-Cech Compactification and contain a proof of the Auslander Ellis lemma.
NoteM.S.
NoteIncludes bibliographical references
Noteby Nicholas Salvatore
Genretheses, ETD graduate
Persistent URLhttps://doi.org/doi:10.7282/T3C82DNH
Languageeng
CollectionCamden Graduate School Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
Version 8.5.5
Rutgers University Libraries - Copyright ©2024