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Staircase kernels
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Evelyn Magazanik
Published/Copyright:
May 21, 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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- A Gauss–Bonnet formula for closed semi-algebraic sets
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