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  Non-separating immersions of spheres and Bing houses

Freedman, M., & Nguễyn-Phan, T. T. (2021). Non-separating immersions of spheres and Bing houses. Mathematical Research Letters, 28(4), 1085-1106. doi:10.4310/MRL.2021.v28.n4.a5.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-B8E9-1 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-12F2-C
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 Creators:
Freedman, Michael, Author
Nguễyn-Phan, T. Tâm1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology, Differential Geometry
 Abstract: n all dimensions n≥4 we construct explicit non-separating, locally flat, PL immersions of Sn−1↬Sn. In fact, the complement of these immersions is diffeomorphic to Rn. These generalize the famous “house with two rooms” or “Bing house” which is an immersion S2↬R3⊂S3.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 22
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 Rev. Type: Peer
 Identifiers: arXiv: 1911.08858
DOI: 10.4310/MRL.2021.v28.n4.a5
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Title: Mathematical Research Letters
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 28 (4) Sequence Number: - Start / End Page: 1085 - 1106 Identifier: -