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October 2020 Characterization of Pseudo-Collarable Manifolds with Boundary
Shijie Gu
Michigan Math. J. 69(4): 733-750 (October 2020). DOI: 10.1307/mmj/1586160014

Abstract

In this paper we obtain a complete characterization of pseudo-collarable n -manifolds for n 6 . This extends earlier work by Guilbault and Tinsley to allow for manifolds with noncompact boundary. In the same way that their work can be viewed as an extension of Siebenmann’s dissertation that can be applied to manifolds with nonstable fundamental group at infinity, our main theorem can also be viewed as an extension of the recent Gu–Guilbault characterization of completable n -manifolds in a manner that is applicable to manifolds whose fundamental group at infinity is not peripherally stable.

Citation

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Shijie Gu. "Characterization of Pseudo-Collarable Manifolds with Boundary." Michigan Math. J. 69 (4) 733 - 750, October 2020. https://doi.org/10.1307/mmj/1586160014

Information

Received: 30 July 2018; Revised: 18 April 2019; Published: October 2020
First available in Project Euclid: 6 April 2020

MathSciNet: MR4168783
Digital Object Identifier: 10.1307/mmj/1586160014

Subjects:
Primary: 57N15, 57Q12
Secondary: 57Q10, 57R65

Rights: Copyright © 2020 The University of Michigan

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Vol.69 • No. 4 • October 2020
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