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Applications of
full covers in real analysis
Karen Zangara and John Marafino
Vol. 2 (2009), No. 3, 297–304
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Abstract |
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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 with a collection of sets and then extracting from this collection a subcollection that partitions . 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
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Mathematical Subject Classification 2000
Primary: 26A03, 26A06, 26A15, 26A24
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Milestones
Received: 22 August 2008
Accepted: 19 March 2009
Published: 3 October 2009
Communicated by David Larson
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Authors |
| Karen Zangara | |
| Cheiron One Greentree Centre Suite 201 Marlton, NJ 08053 United States |
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| John Marafino | |
| Department of Mathematics and
Statistics 305 Roop Hall, MSC 1911 James Madison University Harrisonburg, VA 22807 United States |
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