Neighborhood equivalence for multibranched surfaces in 3-manifolds

Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)11-21
Number of pages11
JournalTopology and its Applications
Publication statusPublished - 2019 Apr 15
Externally publishedYes


  • Multibranched surface
  • Neighborhood equivalence

ASJC Scopus subject areas

  • Geometry and Topology


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