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Noncompact surfaces, triangulations and rigidity

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Noncompact surfaces, triangulations and rigidity. / Power, Stephen.
In: Bulletin of the London Mathematical Society, Vol. 57, No. 7, 31.07.2025, p. 2097-2115.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Power, S 2025, 'Noncompact surfaces, triangulations and rigidity', Bulletin of the London Mathematical Society, vol. 57, no. 7, pp. 2097-2115.

APA

Power, S. (2025). Noncompact surfaces, triangulations and rigidity. Bulletin of the London Mathematical Society, 57(7), 2097-2115.

Vancouver

Power S. Noncompact surfaces, triangulations and rigidity. Bulletin of the London Mathematical Society. 2025 Jul 31;57(7):2097-2115. Epub 2025 Apr 30.

Author

Power, Stephen. / Noncompact surfaces, triangulations and rigidity. In: Bulletin of the London Mathematical Society. 2025 ; Vol. 57, No. 7. pp. 2097-2115.

Bibtex

@article{8b43d890aecf4ac4a1c1a38fb3eca887,
title = "Noncompact surfaces, triangulations and rigidity",
abstract = "Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerekjarto's classification of noncompact surfaces is also given.",
author = "Stephen Power",
year = "2025",
month = jul,
day = "31",
language = "English",
volume = "57",
pages = "2097--2115",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "7",

}

RIS

TY - JOUR

T1 - Noncompact surfaces, triangulations and rigidity

AU - Power, Stephen

PY - 2025/7/31

Y1 - 2025/7/31

N2 - Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerekjarto's classification of noncompact surfaces is also given.

AB - Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerekjarto's classification of noncompact surfaces is also given.

M3 - Journal article

VL - 57

SP - 2097

EP - 2115

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 7

ER -