Vol. 2, No. 3, 2009

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-4184 (e-only) ISSN: 1944-4176 (print) Author Index Coming Soon Other MSP Journals
Applications of full covers in real analysis

Karen Zangara and John Marafino

Vol. 2 (2009), No. 3, 297–304
Abstract

In this paper we briefly introduce the reader to the concept of full covers and indicate how it can be used to prove theorems in an undergraduate analysis course. The technique exposes the student to the idea of covering an interval $\left[a,b\right]$ with a collection of sets and then extracting from this collection a subcollection that partitions $\left[a,b\right]$. As a consequence, the student is furnished with a unifying thread that ties together and simplifies the proofs of many theorems.

Keywords
full covering, partitions, real analysis
Mathematical Subject Classification 2000
Primary: 26A03, 26A06, 26A15, 26A24