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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10136

Title: Compactness and its applications
Authors: Donkor, Sampson Adjei
Issue Date: 23-Jan-2017
Abstract: In this study, we explore the concept of compactness as a core of general topology. Compactness together with Continuity and Connectedness form the so called 3 Cs of general topology. We delve into some of the useful theorems in general topology before singling out the less intuitive topic of compactness touching on almost every aspect of the topic. This work does not shy away from the usefulness of compactness in mathematical analysis and hence explains its application therein. The study nally looks at an example of the applications of compactness in a real life situation.
Description: A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology In partial fulfillment of the requirement for the Degree of Master of Philosophy in Pure Mathematics, 2016
URI: http://hdl.handle.net/123456789/10136
Appears in Collections:College of Science

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