The realization of the decompositions of the 3-orbifold groups along the spherical 2-orbifold groups

DOI10.1016/S0166-8641(01)00241-3zbMath1025.57004MaRDI QIDQ1862044

Yoshihiro Takeuchi, Misako Yokoyama

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

orbifold fundamental groupamalgamated free product3-orbifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

A general theory of orbifolds, and essential 2-suborbifolds respecting graph products

Cites Work

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• The characteristic toric splitting of irreducible compact 3-orbifolds
• PL minimal surfaces in 3-manifolds
• Hierarchies for 3-orbifolds
• Topology of three dimensional manifolds and the embedding problems in minimal surface theory
• The equivariant Dehn's lemma and loop theorem
• Icosahedral group actions on \(\mathbb{R}{}^ 3\)
• The geometric realizations of decompositions of 3-orbifold fundamental groups
• PL equivariant surgery and invariant decompositions of 3-manifolds
• A topological proof of Grushko's theorem on free products
• PL-LEAST AREA 2-ORBIFOLDS AND ITS APPLICATIONS TO 3-ORBIFOLDS
• Waldhausen's Classification Theorem for Finitely Uniformizable 3-Orbifolds
• WALDHAUSEN'S CLASSIFICATION THEOREM FOR 3-ORBIFOLDS
• Unknotting in M 2 × I

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