On a question of B.J. Baker and M. Laidacker concerning disjoint compacta in $\mathbb R^N$
Geometric Topology
2022-10-05 v2 General Topology
Abstract
We describe wild embeddings of polyhedra into 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.
Cite
@article{arxiv.2203.03267,
title = {On a question of B.J. Baker and M. Laidacker concerning disjoint compacta in $\mathbb R^N$},
author = {Olga Frolkina},
journal= {arXiv preprint arXiv:2203.03267},
year = {2022}
}
Comments
25 pages