Cantor-Bendixson degrees and convexity in \(\mathbb{R}^2\)
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Publication:5937670
DOI10.1007/BF02802497zbMath0987.52001MaRDI QIDQ5937670
Publication date: 16 June 2002
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Axiomatic and generalized convexity (52A01) Convex sets in (2) dimensions (including convex curves) (52A10)
Related Items (4)
On three measures of non-convexity ⋮ Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle ⋮ Convex decompositions in the plane and continuous pair colorings of the irrationals ⋮ Perfect cliques and $G_\delta $ colorings of Polish spaces
Cites Work
- A three point convexity property
- A closed \((n+1)\)-convex set in \({\mathbb{R}}^ 2\) is a union of \(n^ 6\) convex sets
- A decomposition theorem for m-convex sets
- General decomposition theorems for m-convex sets in the plane
- An \(R^d\) analogue of Valentine's theorem on 3-convex sets
- Sets in a Euclidean space which are not a countable union of convex subsets
- On visibility and covering by convex sets
- Convexity ranks in higher dimensions
- Unnamed Item
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