Computing Space-Filling Curves

被引：0
|
作者：
P. J. Couch
B. D. Daniel
Timothy H. McNicholl
机构：
[1] Auburn University,Department of Mathematics
[2] Lamar University,Department of Mathematics
来源：
Theory of Computing Systems | 2012年 / 50卷
关键词：
Computable analysis; Constructive analysis; Peano continua; Space-filling curves; Locally connected spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that a continuous surjection of [0,1] onto a Euclidean Peano continuum X can be computed uniformly from a name of X as a compact set and a local connectivity operator for X. We show by means of an example that the second parameter is not superfluous. We then show that this parameter is not necessary either in that there is a computable map of [0,1] into ℝ2 whose image is not effectively locally connected.
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页码：370 / 386
页数：16
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