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Staircase kernels
-
Evelyn Magazanik
Veröffentlicht/Copyright:
21. Mai 2008
Abstract
Let S ⊂ ℝ2 be a compact staircase connected set with stdiam(S) = n. In [E. Magazanik, M. A. Perles, Staircase connected sets. Discrete Comput. Geom.37 (2007), 587–599. MR2321743 Zbl] we showed that Kerr(S) is nonempty if 
, and for 
, Kerr(S) is staircase connected. In this paper we determine the possible values of the staircase diameter of Kerr(S) for , and present interesting facts about Kerr(S) when 
and .
Key words.: Staircase kernels; staircase connectivity
Received: 2006-07-09
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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Artikel in diesem Heft
- Ruled Weingarten hypersurfaces in
- Constructing topological parallelisms of PG(3, ℝ) via rotation of generalized line pencils
- A Gauss–Bonnet formula for closed semi-algebraic sets
- Inner ideals and intrinsic subspaces of linear pair geometries
- Staircase kernels
- Twisted McFarland and Spence designs and their automorphisms
- On the relative lengths of the sides of convex polygons
- The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
- Polar spaces, BLT-sets and generalized quadrangles
- Erratum to “On the Hilbert scheme of Palatini threefolds”
Artikel in diesem Heft
- Ruled Weingarten hypersurfaces in
- Constructing topological parallelisms of PG(3, ℝ) via rotation of generalized line pencils
- A Gauss–Bonnet formula for closed semi-algebraic sets
- Inner ideals and intrinsic subspaces of linear pair geometries
- Staircase kernels
- Twisted McFarland and Spence designs and their automorphisms
- On the relative lengths of the sides of convex polygons
- The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
- Polar spaces, BLT-sets and generalized quadrangles
- Erratum to “On the Hilbert scheme of Palatini threefolds”
