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A SURGERY PROOF OF BING'S THEOREM CHARACTERIZING THE 3-SPHERE

MICHAEL EISERMANN

Institut Fourier, Université Grenoble I, France

https://doi.org/10.1142/S0218216504003159Cited by:2 (Source: Crossref)

Abstract

A classical theorem of R. H. Bing states that a closed connected 3-manifold M is homeomorphic to the 3-sphere if and only if every knot in M is contained in a 3-ball. We give a simple proof of this characterization based on the surgery presentation of 3-manifolds.

Keywords:

AMSC: 57M40, 57R65, 57M25

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