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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On counterexamples in questions of unique determination of convex bodies


Authors: Dmitry Ryabogin and Vlad Yaskin
Journal: Proc. Amer. Math. Soc. 141 (2013), 2869-2874
MSC (2010): Primary 52A20
Published electronically: April 19, 2013
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Abstract: We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.


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Additional Information

Dmitry Ryabogin
Affiliation: Department of Mathematics, Kent State University, Kent, Ohio 44242
Email: ryabogin@math.kent.edu

Vlad Yaskin
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
Email: vladyaskin@math.ualberta.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11539-X
PII: S 0002-9939(2013)11539-X
Keywords: Convex bodies, sections, projections, slabs, intrinsic volumes
Received by editor(s): September 13, 2011
Received by editor(s) in revised form: October 10, 2011, October 21, 2011, and November 8, 2011
Published electronically: April 19, 2013
Additional Notes: The first author was supported in part by U.S. National Science Foundation Grants DMS-0652684 and DMS-1101636
The second author was supported in part by NSERC
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.