Staircase kernels

被引：1

作者：

Magazanik, Evelyn ^{[1
]}

Perles, Micha A. ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, IL-91905 Jerusalem, Israel

来源：

ADVANCES IN GEOMETRY | 2008年 / 8卷 / 01期

关键词：

staircase kernels; staircase connectivity;

D O I：

10.1515/ADVGEOM.2008.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S subset of R-2 be a compact staircase connected set with stdiam(S) = n. In [4] we showed that Ker(r)(S) is nonempty if r >= n+1/2, and for r >= n/2+1, Ker(r)(S) is staircase connected. In this paper we determine the possible values of the staircase diameter of Ker(r)(S) for r >= n/2+1 and present interesting facts about Ker(r)(S) when r= n/2 and r = n+1/2.

引用

页码：87 / 100

页数：14