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2009 Applications of full covers in real analysis
Karen Zangara, John Marafino
Involve 2(3): 297-304 (2009). DOI: 10.2140/involve.2009.2.297

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 [a,b] with a collection of sets and then extracting from this collection a subcollection that partitions [a,b]. As a consequence, the student is furnished with a unifying thread that ties together and simplifies the proofs of many theorems.

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Karen Zangara. John Marafino. "Applications of full covers in real analysis." Involve 2 (3) 297 - 304, 2009. https://doi.org/10.2140/involve.2009.2.297

Information

Received: 22 August 2008; Accepted: 19 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1177.26003
MathSciNet: MR2551127
Digital Object Identifier: 10.2140/involve.2009.2.297

Subjects:
Primary: 26A03, 26A06, 26A15, 26A24

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.2 • No. 3 • 2009
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