Nonpositive towers in Bing’s neighborhood

Every 2-dimensional spine of an aspherical 3-manifold has the nonpositive towers property, but every strongly collapsed 2-dimensional spine of a 3-ball has an immersed sphere.

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Publication Details

Journal
Proceedings of the American Mathematical Society Series B
Published
2026-01-07
DOI
https://doi.org/10.1090/bproc/154
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Nonpositive towers in Bing’s neighborhood

Daniel T. Wise, Max Chemtov
Proceedings of the American Mathematical Society Series B
Geometric and Algebraic Topology
article

Nonpositive towers in Bing’s neighborhood

Daniel T. Wise, Max Chemtov
article en

Abstract

Every 2-dimensional spine of an aspherical 3-manifold has the nonpositive towers property, but every strongly collapsed 2-dimensional spine of a 3-ball has an immersed sphere.

Proceedings of the American Mathematical Society Series BVol. 13(1)
McGill University (CA), Weizmann Institute of Science (IL)
Natural Sciences and Engineering Research Council of Canada
Sustainable cities and communities
Openalex Percentile: Top 94%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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Nonpositive towers in Bing’s neighborhood — Daniel T. Wise, Max Chemtov · Proceedings of the American Mathematical Society Series B (2026) | TGRS Research Map | TGRS