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An inequality for skeletal of convex bodies

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References

  1. O. Aberth, An isoperimetric inequality for polyhedra and its application to an extremum problem. Proc. London Math. Soe. (3),13, 322–336 (1963).

    Google Scholar 

  2. O. Aberth, An inequality for convex polyhedra. J. London Math. Soc. (2),6, 382–384 (1973).

    Google Scholar 

  3. G. R. Burton, The measure of thes-skeleton of a convex body. Mathematika26, 290–301 (1979).

    Google Scholar 

  4. G. R. Burton, Skeleta and sections of convex bodies. Mathematika27, 97–103 (1980).

    Google Scholar 

  5. H. G. Eggleston, B. Grünbaum andV. L. Klee, Some semicontinuity theorems for convex polytopes and cell complexes. Comment. Math. Helv.39, 165–188 (1964).

    Google Scholar 

  6. H.Federer, Geometric Measure Theory. Berlin-Heidelberg-New York 1969.

  7. W. J. Firey andR. Schneider, The size of skeletons of convex bodies. Geom. Dedic.8, 99–103 (1979).

    Google Scholar 

  8. D. G. Larman, Thed-2 skeletons of polytopal approximations to a convex body inE d. Mathematika27, 122–133 (1980).

    Google Scholar 

  9. R.Schneider, Convex bodies with many polytopal sections. Unpublished.

  10. R. Schneider, On the skeletons of convex bodies. Bull. London Math. Soc.10, 84–85 (1978).

    Google Scholar 

  11. R.Schneider, Boundary structure and curvature of convex bodies. Contributions to Geometry, Basel 1979.

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Author notes

  1. G. R. Burton & D. G. Larman

    Present address: Department of Mathematics, University College London, Gower Street, WClE6BT, London, England

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    1. G. R. Burton
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    2. D. G. Larman
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    Burton, G.R., Larman, D.G. An inequality for skeletal of convex bodies. Arch. Math 36, 378–384 (1981). https://doi.org/10.1007/BF01223713

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    • DOI: https://doi.org/10.1007/BF01223713

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