Geodesic
EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS
Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 195-230

Voir la notice de l'article provenant de la source Cambridge

DOI

For an orientable surface S of finite topological type with genus g ≥ 3, we construct a finite set of curves whose union of iterated rigid expansions is the curve graph $\mathcal{C}$(S). The set constructed, and the method of rigid expansion, are closely related to Aramayona and Leiniger's finite rigid set in Aramayona and Leininger, J. Topology Anal.5(2) (2013), 183–203 and Aramayona and Leininger, Pac. J. Math.282(2) (2016), 257–283, and in fact a consequence of our proof is that Aramayona and Leininger's set also exhausts the curve graph via rigid expansions. 
HERNÁNDEZ, JESÚS HERNÁNDEZ. EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS. Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 195-230. doi: 10.1017/S0017089518000174
@article{10_1017_S0017089518000174,
     author = {HERN\'ANDEZ, JES\'US HERN\'ANDEZ},
     title = {EXHAUSTION {OF} {THE} {CURVE} {GRAPH} {VIA} {RIGID} {EXPANSIONS}},
     journal = {Glasgow mathematical journal},
     pages = {195--230},
     year = {2019},
     volume = {61},
     number = {1},
     doi = {10.1017/S0017089518000174},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000174/}
}
TY  - JOUR
AU  - HERNÁNDEZ, JESÚS HERNÁNDEZ
TI  - EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS
JO  - Glasgow mathematical journal
PY  - 2019
SP  - 195
EP  - 230
VL  - 61
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000174/
DO  - 10.1017/S0017089518000174
ID  - 10_1017_S0017089518000174
ER  - 
%0 Journal Article
%A HERNÁNDEZ, JESÚS HERNÁNDEZ
%T EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS
%J Glasgow mathematical journal
%D 2019
%P 195-230
%V 61
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000174/
%R 10.1017/S0017089518000174
%F 10_1017_S0017089518000174

Cité par Sources :