On the determination of convex bodies by projection and girth functions

Results in Mathematics

Volumn 33, Issue 1-2, 1998, Pages 155-160

  Schneider, Rolf ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

52A20; Baire category; convex body; girth; projection function

Indexed keywords

EID: 0346647769     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322079     Document Type: Article

References (9)

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3. Gardner, R.J., Geometric Tomography. (Encyclopedia of Mathematics and its Applications, vol. 58), Cambridge University Press, Cambridge 1995.
4. Goodey, P., Schneider, R., Weil, W., On the determination of convex bodies by projection functions. Bull. London Math. Soc. 29 (1997), 82–88.
5. Goodey, P., Schneider, R., Weil, W., Projection functions of convex bodies. In Bolyai Society Math. Studies 6 (Intuitive Geometry, Budapest 1995, eds. I. Bárány and K. Böröczky sen), Budapest 1997, pp. 23 - 53.
6. Gruber, P.M., Baire categories in convexity. In Handbook of Convex Geometry (eds.P.M. Gruber and J.M. Wills), North-Holland, Amsterdam 1993, pp. 1327–1346.
7. Schneider, R., On the projections of a convex polytope. Pacific J. Math. 32 (1970), 799–803.
8. Schneider, R., Convex Bodies: the Brunn-Minkowski Theory. (Encyclopedia of Mathematics and its Applications, vol. 44), Cambridge University Press, Cambridge 1993.
9. Schneider, R., Polytopes and Brunn-Minkowski theory. In Polytopes — Abstract, Convex and Computational (eds. T. Bisztriczky, P. McMullen, R. Schneider and A. Ivić Weiss), NATO ASI Series, vol 40, Kluwer, Dordrecht, 1994, pp. 273–299.