A STUDY ON THE COMPACTNESS OF SETS

Authors

  • Terrang, Abubakar Umar Department of Mathematics and Computer Science, Federal University, Kashere, Gombe State
  • Patience Iliya Bwanu Department of Mathematics and Computer Science, Federal University, Kashere, Gombe State

DOI:

https://doi.org/10.56892/bima.v2i01.85

Keywords:

Normed vector space; compact; convergence sequence; Cauchy sequence; closed; bounded

Abstract

The general properties of compact sets are looked at in the study such as compactness implies
closedness, compactness implies bounded. In order to achieve these we briefly looked at metric
spaces, normed vector spaces from which we considered metric that is being induced by a norm.
Considered also is the convergence property of some sequences chiefly Cauchy sequence on
which the completeness concept of a set consequently continuity and boundedness properties are
established and property of a finite dimensional compact sets. Everything looked at is concise.


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Published

2018-01-11

How to Cite

Umar, T. A., & Bwanu, P. I. . (2018). A STUDY ON THE COMPACTNESS OF SETS. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 2(01), 263-268. https://doi.org/10.56892/bima.v2i01.85

Issue

Vol. 2 No. 01 (2018): Vol. 2 No. 1 January 2018

Section

Articles