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Neighborhood equivalence for multibranched surfaces in 3-manifolds
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classification
math.GT
keywords
multibranchedsurfacesconnectdimensionalembeddedequivalencefinitelyintroduce
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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.
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