A1 Journal article (refereed)
Bing meets Sobolev (2021)

Onninen, J., & Pankka, P. (2021). Bing meets Sobolev. Revista Matematica Iberoamericana, 37(5), 1897-1916. https://doi.org/10.4171/rmi/1252

JYU authors or editors

Publication details

All authors or editors: Onninen, Jani; Pankka, Pekka

Journal or series: Revista Matematica Iberoamericana

ISSN: 0213-2230

eISSN: 2235-0616

Publication year: 2021

Volume: 37

Issue number: 5

Pages range: 1897-1916

Publisher: European Mathematical Society - EMS - Publishing House GmbH

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.4171/rmi/1252

Publication open access: Not open

Publication channel open access: 

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1908.09193

Abstract

We show that, for each 1≤p<2, there exists a wild involution S3→S3 in the Sobolev class W1,p(S3,S3).

Keywords: geometry; topology; functional analysis; complex analysis; manifolds (mathematics); metric spaces

Free keywords:  fixed point set; Sobolev homeomorphism; wild involution

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 2