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Original scientific paper

A note on the curve complex of the 3-holed projective plane

Blazej Szepietowski   ORCID icon orcid.org/0000-0002-6219-7895 ; Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gdansk, Gdansk, Poland

Fulltext: english, pdf (155 KB) pages 289-296 downloads: 55* cite
APA 6th Edition
Szepietowski, B. (2020). A note on the curve complex of the 3-holed projective plane. Mathematical Communications, 25 (2), 289-296. Retrieved from https://hrcak.srce.hr/244289
MLA 8th Edition
Szepietowski, Blazej. "A note on the curve complex of the 3-holed projective plane." Mathematical Communications, vol. 25, no. 2, 2020, pp. 289-296. https://hrcak.srce.hr/244289. Accessed 18 Sep. 2021.
Chicago 17th Edition
Szepietowski, Blazej. "A note on the curve complex of the 3-holed projective plane." Mathematical Communications 25, no. 2 (2020): 289-296. https://hrcak.srce.hr/244289
Harvard
Szepietowski, B. (2020). 'A note on the curve complex of the 3-holed projective plane', Mathematical Communications, 25(2), pp. 289-296. Available at: https://hrcak.srce.hr/244289 (Accessed 18 September 2021)
Vancouver
Szepietowski B. A note on the curve complex of the 3-holed projective plane. Mathematical Communications [Internet]. 2020 [cited 2021 September 18];25(2):289-296. Available from: https://hrcak.srce.hr/244289
IEEE
B. Szepietowski, "A note on the curve complex of the 3-holed projective plane", Mathematical Communications, vol.25, no. 2, pp. 289-296, 2020. [Online]. Available: https://hrcak.srce.hr/244289. [Accessed: 18 September 2021]

Abstracts
Let S be a projective plane with 3 holes. We prove that there is an exhaustion of the curve complex C(S) by a sequence of finite rigid sets. As a corollary, we obtain that the group of simplicial automorphisms of C(S) is isomorphic to the mapping class group Mod(S). We also prove that C(S) is quasi-isometric to a simplicial tree.

Keywords
Complex of curves, nonorientable surface, projective plane, mapping class group, quasi-tree

Hrčak ID: 244289

URI
https://hrcak.srce.hr/244289

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