Strong surjectivity of maps from 2-complexes into the 2-sphere

Autor:	Oziride Manzoli Neto, Marcio Colombo Fenille
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Pure mathematics Group (mathematics) General Mathematics Diophantine equation group presentation Surjective function Combinatorics 55m20 Integer matrix Number theory Integer 57m20 two-dimensional complexes diophantine linear system QA1-939 Algebra over a field Mathematics strong surjectivity
Zdroj:	Open Mathematics, Vol 8, Iss 3, Pp 421-429 (2010)
ISSN:	2391-5455
Popis:	Given a model 2-complex K P of a group presentation P, we associate to it an integer matrix Δ P and we prove that a cellular map f: K P → S 2 is root free (is not strongly surjective) if and only if the diophantine linear system Δ P Y = \( \overrightarrow {deg} \)(f) has an integer solution, here \( \overrightarrow {deg} \)(f)is the so-called vector-degree of f
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4adc870d74dd08aab0a42aa21e08f67a https://doaj.org/article/5d45e4eb8ce042d39639902d379f77f1 Zobrazit plný text záznamu