On Application of Set Theory to Some Aspects of Real Analysis and Topology
Eziokwu, C. Emmanuel *
Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria.
Onyenso, G. Ugoeze
Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Set as a collection of mathematical elements makes more meaning in classical analysis and topology. There are diverse forms of its existence and operations. In the course of this work, we discussed its various operations such as union intersection complementation and its various algebras. The application of the various algebra in real analysis and metric space topology was peripherally discussed. Conclusively, we discovered that set is an all round player in analytical and topology mathematics.
Keywords: Chromosome number,, Function, Autosomal fragmentation, metric space, Bardiagrams., partial ordering, relation, set, sets of real numbers.