TY - JOUR
T1 - Neighborhood equivalence for multibranched surfaces in 3-manifolds
AU - Ishihara, Kai
AU - Koda, Yuya
AU - Ozawa, Makoto
AU - Shimokawa, Koya
N1 - Funding Information:
The first author is partially supported by JSPS KAKENHI Grant Numbers 16H03928 , 17K14190 and 17H06463 . The second author is partially supported by JSPS KAKENHI Grant Numbers 15H03620 , 17K05254 , 17H06463 , and JST CREST Grant Number JPMJCR17J4 . The third author is partially supported by JSPS KAKENHI Grant Numbers 26400097 , 16H03928 , 17K05262 . The last author is partially supported by JSPS KAKENHI Grant Numbers 16K13751 , 16H03928 , 17H06460 , 17H06463 , and JST CREST Grant Numbers 26310206 , 16K13751 , JPMJCR17J4 .
Funding Information:
The first author is partially supported by JSPS KAKENHI Grant Numbers 16H03928, 17K14190 and 17H06463. The second author is partially supported by JSPS KAKENHI Grant Numbers 15H03620, 17K05254, 17H06463, and JST CREST Grant Number JPMJCR17J4. The third author is partially supported by JSPS KAKENHI Grant Numbers 26400097, 16H03928, 17K05262. The last author is partially supported by JSPS KAKENHI Grant Numbers 16K13751, 16H03928, 17H06460, 17H06463, and JST CREST Grant Numbers 26310206, 16K13751, JPMJCR17J4.
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/4/15
Y1 - 2019/4/15
N2 - A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.
AB - A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.
KW - Multibranched surface
KW - Neighborhood equivalence
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U2 - 10.1016/j.topol.2019.02.005
DO - 10.1016/j.topol.2019.02.005
M3 - Article
AN - SCOPUS:85061983781
SN - 0166-8641
VL - 257
SP - 11
EP - 21
JO - Topology and its Applications
JF - Topology and its Applications
ER -