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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.

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