Date of Award
2012-01-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Mohamed A. Khamsi
Abstract
A sequence {xn} is said to be statistically convergent to ℓ provided that "almost all" of the values of {xn} are arbitrarily close to ℓ. One can also define what is meant by statistical limit point, statistical limit superior, statistical limit inferior of a sequence and so forth and thus create a theory of convergence that includes ordinary convergence. In this work we investigate all these concepts and prove some new results. We also introduce a topology defined by this new convergence which we call statistical topology. Then we prove that both the statistical topology and the regular topology are identical.
Language
en
Provenance
Received from ProQuest
Copyright Date
2012
File Size
35 pages
File Format
application/pdf
Rights Holder
KHDIGA KALIFA TABIB
Recommended Citation
Tabib, Khdiga Kalifa, "The Topology Of Statistical Convergence" (2012). Open Access Theses & Dissertations. 2205.
https://scholarworks.utep.edu/open_etd/2205