Eine Bemerkung zu einigen 22-dimensionalen Komplexen, die im R4\mathbb{R}^4 fast-eingebettet werden können

preprint2022arXivOpen access

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.

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