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$\mathcal{Z}$–compactifiable manifolds which are not pseudocollarable

Shijie Gu

Algebraic & Geometric Topology 22 (2022) 3459–3484
Abstract

It is shown that there exist 𝒵–compactifiable manifolds with noncompact boundary which fail to be pseudocollarable.

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Keywords
ends, inward tame, semistable, peripherally perfectly semistable, homotopy collar, pseudo-collar, Z-compactification, twisted Whitehead double, hypoabelian group, fibered knot, alternating knot, adequate knot, completable, Wall finiteness obstruction
Mathematical Subject Classification
Primary: 57Nxx
Secondary: 57K10, 57N65, 57Q10
References
Publication
Received: 13 October 2020
Revised: 19 September 2021
Accepted: 5 October 2021
Published: 30 January 2023
Authors
Shijie Gu
Department of Mathematics
Northeastern University
Shenyang
China