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A note on  -intersection bodies
Author(s):
Jared
Schlieper
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2081-2088.
MSC (2000):
Primary 46B04
Posted:
February 2, 2007
MathSciNet review:
2299484
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Abstract:
The concept of an intersection body is central for the dual Brunn-Minkowski theory and has also played an important role in the solution of the Busemann-Petty problem. A more general concept of  -intersection bodies is related to the generalization of the Busemann-Petty problem. In this note, we compare classes of  -intersection bodies for different  and examine the conjecture that these classes increase with  . In particular, we construct a  -intersection body that is not a  -intersection body.
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Additional Information:
Jared
Schlieper
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email:
mathgr20@math.missouri.edu
DOI:
10.1090/S0002-9939-07-08774-6
PII:
S 0002-9939(07)08774-6
Received by editor(s):
March 6, 2006
Posted:
February 2, 2007
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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