论文标题
$ \ mathbb {r}^3 $全部投影是一维的新简单家族
A new simple family of Cantor sets in $\mathbb{R}^3$ all of whose projections are one-dimensional
论文作者
论文摘要
1994年，J.COBB描述了$ \ mathbb {r}^3 $中的cantor设置，每个cant to the^3 $将其投影到2片中是一维的。随后是其他作者开发的一系列作品。我们在$ \ mathbb {r}^3 $中介绍了另一个非常简单的cantor set系列。这些是自相似的Cantor套装，可以追溯到路易·安托万（Louis Antoine）的作品，我们在2020 - 2021年庆祝他们的百年生日。
In 1994, J.Cobb described a Cantor set in $\mathbb{R}^3$ each of whose projections into 2-planes is one-dimensional. A series of works by other authors developing this field followed. We present another very simple series of Cantor sets in $\mathbb{R}^3$ all of whose projections are connected and one-dimensional. These are self-similar Cantor sets which go back to the work of Louis Antoine, and we celebrate their centenary birthday in 2020-2021.
