The unavoidable arrangements of pseudocircles

Autor: Jorge Ramírez-Alfonsín, Carolina Medina, Gelasio Salazar
Přispěvatelé: Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Department of Combinatorics and Optimization, University of Waterloo [Waterloo]
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, In press, ⟨10.1090/proc/14498⟩
ISSN: 0002-9939
1088-6826
DOI: 10.1090/proc/14498⟩
Popis: International audience; A fact closely related to the classical Erdos-Szekeres theorem is that cyclic arrangements are the only unavoidable simple arrangements of pseudolines: for each fixed m ≥ 1, every sufficiently large simple arrangement of pseudolines has a cyclic subarrangement of size m. In the same spirit, we show that there are three unavoidable arrangements of pseudocircles.
Databáze: OpenAIRE