On closed sets with convex projections under somewhere dense sets of directions

DOI10.1090/S0002-9939-09-09804-9zbMath1169.52001OpenAlexW1968685355MaRDI QIDQ3631850

Stoyu Barov, Jan J. Dijkstra

Publication date: 22 June 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09804-9

zbMATH Keywords

shadowhyperplaneGrassmann manifoldimitationproper mappingconvex projection

Mathematics Subject Classification ID

Related Items (5)

Unnamed Item ⋮ More on exposed points and extremal points of convex sets in $\mathbb{R}^n$ and Hilbert space ⋮ On closed sets with convex projections under narrow sets of directions ⋮ ON CLOSED SETS IN HILBERT SPACE WITH CONVEX PROJECTIONS UNDER SOMEWHERE DENSE SETS OF DIRECTIONS ⋮ A Cantor set in \(\mathbb R^d\) with ``large projections

Cites Work

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• On compacta with convex projections
• ON CLOSED SETS WITH CONVEX PROJECTIONS
• On closed sets with convex projections under narrow sets of directions
• ON CLOSED SETS IN HILBERT SPACE WITH CONVEX PROJECTIONS UNDER SOMEWHERE DENSE SETS OF DIRECTIONS
• Raising dimension under all projections
• On closed sets with convex projections in Hilbert space
• An example of a simple arc in space whose projection in every plane has interior points

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