English

Eine Bemerkung zu einigen $2$-dimensionalen Komplexen, die im $\mathbb{R}^4$ fast-eingebettet werden k\"onnen

Geometric Topology 2022-06-28 v1

Abstract

We observe that many of the 2-complexes constructed by Freedman-Krushkal-Teichner in their paper on the incompleteness of the van Kampen embedding obstruction can actually be PL immersed in R4\mathbb{R}^4 in such a way that the images of the interiors of distinct cells are disjoint. In other words, they PL almost-embed in R4\mathbb{R}^4 with singularities occurring only as self intersections of some 2-cells. This note is written in (not necessarily modern) German.

Keywords

Cite

@article{arxiv.2206.12968,
  title  = {Eine Bemerkung zu einigen $2$-dimensionalen Komplexen, die im $\mathbb{R}^4$ fast-eingebettet werden k\"onnen},
  author = {T. Tam Nguyen Phan},
  journal= {arXiv preprint arXiv:2206.12968},
  year   = {2022}
}

Comments

3 pages, in German