In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: Irreducible orientable...

study of their complements, and in turn into 3-manifold theory. The JSJ decomposition and Thurston's hyperbolization theorem reduces the study of knots...

JSJ may refer to: IATA code for Jiansanjiang Airport JSJ decomposition, a process in mathematics of decomposing a topological space This disambiguation...

embedding of either a torus or an annulus The JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following...

group decomposition, used to analyse the structure of Lie groups and associated objects Manifold decomposition, decomposition of manifolds JSJ decomposition...

either a Solv manifold, a manifold having only Seifert pieces in its JSJ decomposition, or connect sums of the previous two categories. From this perspective...

the JSJ decomposition, which is not quite the same as the decomposition in the geometrization conjecture, because some of the pieces in the JSJ decomposition...

notion of a JSJ-decomposition for word-hyperbolic groups, motivated by the notion of a JSJ decomposition for 3-manifolds. A JSJ-decomposition is a representation...

The theory of JSJ-decompositions for finitely presented groups. This theory was motivated by the classic notion of JSJ decomposition in 3-manifold topology...

Loop theorem (aka the Disk theorem) Sphere theorem Haken manifold JSJ decomposition Branched surface Lamination Examples 3-sphere Torus bundles Surface...

"Cyclic splittings of finitely presented groups and the canonical JSJ decomposition". Annals of Mathematics. Second Series. 146 (1): 53–109. doi:10.2307/2951832...

examples where the decomposition is not unique. With a suitably enhanced notion of satellite operation called splicing, the JSJ decomposition gives a proper...

accessibility of discrete groups, groups acting on graphs and trees, JSJ-decompositions, the topology of 3-manifolds and the structure of their fundamental...

1907 to 1935 William Jaco, mathematician; known for his role in the JSJ decomposition theorem M. Eric Johnson, Dean of the Owen Graduate School of Management...

present the JSJ decomposition has not been implemented algorithmically in computer software. Neither has the compression-body decomposition. There are...

"Cyclic splittings of finitely presented groups and the canonical JSJ decomposition". Annals of Mathematics. 2. 146 (1): 53–109. doi:10.2307/2951832....

interestingly, a canonical geometric decomposition in terms of satellite-sum and satellite-tie, which is simpler than JSJ-decomposition, for Brunnian links, was developed...

working primarily in low-dimensional topology. He is the "S" in JSJ decomposition. He graduated from Stuyvesant High School in 1962, and went on to...

these tori to yield pieces that each have geometric structures (the JSJ decomposition); If g is pseudo-Anosov, then Mg has a hyperbolic (i.e. H3) structure...

defined as follows. By the JSJ decomposition, the complement S 3 ∖ K {\displaystyle S^{3}\backslash K} may be uniquely decomposed into a system of tori S...

mathematician who is known for his role in the Jaco–Shalen–Johannson decomposition theorem and efficient triangulations of 3-manifolds. He retired from...

Women's Army Corps officer William Jaco, mathematician; discovered the JSJ decomposition George Judge, economist Subhash Kak, computer scientist and public...

depending only on S. In general, it is known, as a consequence of the JSJ-decomposition theory for word-hyperbolic groups, that if 1 → H → G → Q → 1 {\displaystyle...

infinite cyclic group. This allowed Bowditch to produce a theory of JSJ decomposition for word-hyperbolic groups that was more canonical and more general...

as well as 3-manifold groups obtained by some connected sum and JSJ decomposition constructions. For every n ≥ 1 {\displaystyle n\geq 1} the Baumslag–Solitar...

cutting along incompressible surfaces can be used to construct the JSJ decomposition of a manifold. This chapter also includes material on Seifert fiber...

for (torsion-free) word-hyperbolic groups, Sela's version of the JSJ-decomposition theory and the work of Sela on the Tarski Conjecture for free groups...

theory) Doob decomposition theorem (stochastic processes) Doob's martingale convergence theorems (stochastic processes) Doob–Meyer decomposition theorem (stochastic...

The Digital Morphological Sampling Theorem, (with X. Zhuang, C. Lin, and J.S.J. Lee), IEEE Transactions on Acoustics, Speech, and Signal Processing, Volume...