### Asphericity of shadows of a convex body.

Makeev, V.V. (2005)

Journal of Mathematical Sciences (New York)

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Makeev, V.V. (2005)

Journal of Mathematical Sciences (New York)

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Makeev, V.V. (2005)

Journal of Mathematical Sciences (New York)

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Weißbach, Benulf (1996)

Beiträge zur Algebra und Geometrie

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David G. Larman (2009)

Banach Center Publications

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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.

Brehm, Ulrich, Voigt, Jürgen (2000)

Beiträge zur Algebra und Geometrie

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Groemer, H. (1993)

Beiträge zur Algebra und Geometrie

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Hausel, T., Makai, E., Szücs, A. (1997)

General Mathematics

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Glasauer, Stefan (1999)

Beiträge zur Algebra und Geometrie

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Carla Peri, Andreana Zucco (1992)

Monatshefte für Mathematik

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Boltyanski, V., Martini, H. (1999)

Beiträge zur Algebra und Geometrie

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J. Grzybowski, R. Urbański (2003)

Studia Mathematica

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Let [A,B] be the family of pairs of compact convex sets equivalent to (A,B). We prove that the cardinality of the set of minimal pairs in [A,B] that are not translates of one another is either 1 or greater than ℵ₀.

Revenko, Sorin M., Soltan, V. (1997)

General Mathematics

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Boltyanski, V.G., Morales Amaya, E. (1995)

Journal of Applied Analysis

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Lindquist, Norman F. (1975)

Portugaliae mathematica

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Jerzy Grzybowski, Ryszard Urbanski (2003)

Revista Matemática Complutense

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In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.