A classification of a class of $3$-branchfolds
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- by Yoshihiro Takeuchi PDF
- Trans. Amer. Math. Soc. 307 (1988), 481-502 Request permission
Abstract:
An $n$-orbifold is a topological space provided with a local modelling on (an open set in ${{\mathbf {R}}^n}$)/(a finite group action). Mainly, we deal with $3$-branchfolds (i.e. $3$-orbifolds with $1$-dimensional singular locus). We define a map between two $3$-branchfolds. With respect to this map, we prove some facts parallel to $3$-manifold theorems. Using the facts, we classify a class of $3$-branchfolds, analogous to Waldhausen’s classification theorem of Haken manifolds.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 307 (1988), 481-502
- MSC: Primary 57N10; Secondary 57M12
- DOI: https://doi.org/10.1090/S0002-9947-1988-0940214-4
- MathSciNet review: 940214