Date of Award
8-1970
Document Type
Thesis
Degree Name
Master of Science
Department
Mathematics
Abstract
Topology is divided into two main branches: general topology and algebraic topology, also referred to as point-set topology and combinatorial topology, respectively. Although the distinction between the two branches lies primarily in the tools that are used. General topology uses set-theoretic tools, and algebraic topology uses algebra, mainly group theory.
Topology is used in mathematics courses, such as algebra, number theory, and analysis. Topology is even used in engineering. Mainly in network theory.
This paper is to serve as a guide and a foundation for an introductory course in point-set topology. This paper will progress in the following manner: Chapter I will enlighten the reader as to what topology really means and where it got its beginning. Chapter II will deal with basic definitions and properties of topological spaces. Chapter III and Chapter IV will exhibit the uses of limits, continuity and compactness in the proof of one of the basic topological and analytical theorem, called the Heine-Borel theorem.
Committee Chair/Advisor
Frank Hawkins
Publisher
Prairie View A&M College
Rights
© 2021 Prairie View A & M University
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Date of Digitization
3-24-2022
Contributing Institution
John B Coleman Library
City of Publication
Prairie View
MIME Type
Application/PDF
Recommended Citation
Phillips, M. L. (1970). Some Elementary Topics in Point-Set Topology. Retrieved from https://digitalcommons.pvamu.edu/pvamu-theses/1393