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REIDEMEISTER’S THEOREM USING TRANSVERSALITY

Part of: Differential topology Low-dimensional topology

Published online by Cambridge University Press:  14 October 2024

HOEL QUEFFELEC Open the ORCID record for HOEL QUEFFELEC [Opens in a new window]
HOEL QUEFFELEC*
Affiliation:
IMAG, University of Montpellier, CNRS, Montpellier, France and MSI, The Australian National University, Canberra, Australia
*
e-mail: [email protected]
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Abstract

We recover Reidemeister’s theorem using $\mathcal {C}^{\infty }$ functions and transversality.

Keywords

Reidemeister’s theoremknotstransversality

MSC classification

Secondary: 57M15: Relations with graph theory 57R52: Isotopy 57R40: Embeddings
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 111 , Issue 2 , April 2025 , pp. 356 - 367
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 101064705.

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