On the rank of a topological convexity

M. van de Vel

Displaying similar documents to “On the rank of a topological convexity”

Dimension of convex hyperspaces

M. van de Vel (1984)

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Dimension of convex hyperspaces : nonmetric case

M. Van de Vel (1983)

Compositio Mathematica

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Critique of "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega

Patrizio Neff (2005)

Annales Polonici Mathematici

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It is noted that the examples provided in the paper "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. Telega, Ann. Polon. Math. 73 (2000), 291-295, contain unrecoverable errors.

A note on equality of functional envelopes

Martin Kružík (2003)

Mathematica Bohemica

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We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $ℝ^{m \times n}$ , $min (m, n) \leq 2$ , then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope.

Convexity on a topological space

H. Komiya (1981)

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Pairs of sets with convex union.

Ryszard Urbanski (1997)

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In this paper the notion of convex pairs of convex bounded subsets of a Hausdorff topological vector space is introduced. Criteria of convexity pair are proved.

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M. Changat, A. Vijayakumar (1992)

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Duchet, Pierre

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