On Poincaré surgery

Abstract We exhibit a homotopy‐theoretic proof of the fundamental theorem of Poincaré surgery in the simply connected case. We also deduce the Poincaré transversality exact sequence.

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Publication Details

Journal
Journal of Topology
Published
2026-10-14
DOI
https://doi.org/10.1112/topo.70103
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

On Poincaré surgery

John R. Klein
Journal of Topology
Geometric and Algebraic Topology
article

On Poincaré surgery

John R. Klein
article en

Abstract

Abstract We exhibit a homotopy‐theoretic proof of the fundamental theorem of Poincaré surgery in the simply connected case. We also deduce the Poincaré transversality exact sequence.

Journal of TopologyVol. 19(4)
Wayne State University (US)
Openalex Percentile: Top 90%
Geometric and Algebraic Topology
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