论文标题

关于B.J. Baker和M. Laidacker关于$ \ Mathbb r^n $的不相交的问题

On a question of B.J. Baker and M. Laidacker concerning disjoint compacta in $\mathbb R^N$

论文作者

Frolkina, Olga

论文摘要

我们将polyhedra的野生嵌入到$ \ mathbb {r}^n $中,这表明了B.J. Baker-M的答案。 Laidacker(1989)关于成对的不相交压缩家庭的家庭可能是双重的。我们构建的主要思想是使用特定的野生康托套件,即Antoine-Blankinship-ivanov项链和Krushkal粘性套件。我们的基本工具是Antoine的方法和Shtan'ko脱发理论。

We describe wild embeddings of polyhedra into $\mathbb{R}^N$ which show that the answer to the question of B.J. Baker--M. Laidacker (1989) concerning uncountable families of pairwise disjoint compacta can be twofold. The central idea of our construction is the use of specific wild Cantor sets, namely, Antoine--Blankinship--Ivanov necklaces and Krushkal sticky sets. Our basic tools are Antoine's methods and Shtan'ko demension theory.

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