Jaco-Shalen-Johannson Torus Decomposition

Irreducible orientable Compact 3-Manifolds have a canonical (up toIsotopy) minimal collection of disjointly Embedded incompressible Tori suchthat each component of the 3-Manifold removed by the Tori is either ``atoroidal'' or``Seifert-fibered.''

• Functional
• Functional Analysis
• Functional Calculus
• Functional Derivative
• Function Field
• Function Space
• Functor
• Fundamental Class
• Fundamental Continuity Theorem
• Fundamental Discriminant
• Fundamental Forms
• Fundamental Group
• Fundamental Homology Class
• Fundamental Lemma of Calculus of Variations
• Fundamental System
• Fundamental Theorem of Algebra
• Fundamental Theorem of Arithmetic
• Fundamental Theorem of Curves
• Fundamental Theorem of Directly Similar Figures
• Fundamental Theorem of Gaussian Quadrature
• Fundamental Theorem of Genera
• Fundamental Theorem of Plane Curves
• Fundamental Theorem of Projective Geometry
• Fundamental Theorem of Space Curves
• Fundamental Theorem of Symmetric Functions