Ƶ–compactifiable manifolds which are not pseudocollarable

Shijie Gu

doi:10.2140/agt.2022.22.3459

Abstract

It is shown that there exist $\mathcal{Z}$$ –compactifiable manifolds with noncompact boundary which fail to be pseudocollarable.

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Shijie Gu. " $\mathcal{Z}$ –compactifiable manifolds which are not pseudocollarable." Algebr. Geom. Topol. 22 (7) 3459 - 3484, 2022. https://doi.org/10.2140/agt.2022.22.3459

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Received: 13 October 2020; Revised: 19 September 2021; Accepted: 5 October 2021; Published: 2022

First available in Project Euclid: 14 February 2023

MathSciNet: MR4545923

zbMATH: 1511.57027

Digital Object Identifier: 10.2140/agt.2022.22.3459

Subjects:

Primary: 57Nxx

Secondary: 57K10 , 57N65 , 57Q10

Keywords: adequate knot , Alternating knot , completable , ends , fibered knot , homotopy collar , hypoabelian group , inward tame , peripherally perfectly semistable , pseudo-collar , semistable , twisted Whitehead double , Wall finiteness obstruction , Z-compactification

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