Rectangles inscribed in symmetric continua |
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| Authors: | Mark J. Nielsen S. E. Wright |
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| Affiliation: | (1) Department of Mathematics, University of Idaho, 83844 Moscow, ID, USA;(2) Department of Mathematics and Statistics, Miami University, 45056 Oxford, OH, USA |
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| Abstract: | LetQ be any rectangle and letK   d (d  2) be a continuum which is either symmetric across a hyperplane or symmetric through a pointz  K. We show thatK contains the vertices of a rectangle similar toQ which exhibits the same symmetry as doesK. |
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| Keywords: | 54-XX |
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