TY - JOUR
T1 - Injective labeled oriented trees are aspherical
AU - Harlander, Jens
AU - Rosebrock, Stephan
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
PY - 2017/12/22
Y1 - 2017/12/22
N2 - A labeled oriented tree is called injective, if each vertex occurs at most once as an edge label. We show that injective labeled oriented trees are aspherical. The proof uses a new relative asphericity test based on a lemma of Stallings.
AB - A labeled oriented tree is called injective, if each vertex occurs at most once as an edge label. We show that injective labeled oriented trees are aspherical. The proof uses a new relative asphericity test based on a lemma of Stallings.
KW - 2-Complex
KW - Asphericity
KW - Labeled oriented tree
KW - Wirtinger presentation
UR - http://www.scopus.com/inward/record.url?scp=85006925682&partnerID=8YFLogxK
U2 - 10.1007/s00209-016-1823-6
DO - 10.1007/s00209-016-1823-6
M3 - Article
AN - SCOPUS:85006925682
SN - 0025-5874
VL - 287
SP - 199
EP - 214
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -