WebMar 25, 2024 · This means that for a cubulated hyperbolic group, the natural action on its Gromov boundary is hyperfinite, which generalizes an old result of Dougherty, Jackson and Kechris for the free group case. Keywords. group actions topological dynamics hyperbolic groups hyperfinite equivalence relations Gromov boundary. WebIn this paper, we prove that two cubic knots K1, K2 are isotopic if and only if one can pass from one to the other by a finite sequence of cubulated moves. These moves are analogous to the Reidemeister moves for classical tame knots. We use this fact
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Webaccumulate: [verb] to gather or pile up especially little by little : amass. WebPrzytycki and Wise cubulated the fundamental groups of all compact 3-dimensional manifolds that are not graph manifolds, as well as graph manifolds with boundary [PW14, PW12]. In [Liu13] Liu gave a criterion for a graph manifold fundamental group to be virtually cubulated specially (meaning that the quotient of the action the professionals mermaid beach
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WebThe meaning of CUMULATE is to gather or pile in a heap. Did you know? to gather or pile in a heap; to combine into one; to build up by addition of new material… WebFeb 6, 2024 · We introduce the notion of cube complex with coupled link (CLCC) as a mean of constructing interesting CAT(0) cubulated groups. CLCCs are defined locally, making them a useful tool to use when precise control over the links is required. In this paper we study some general properties of CLCCs, such as their (co)homological dimension and … WebSep 1, 2024 · Cubulated moves. Definition 4.1. The following are the allowed cubulated moves: M1. Subdivision: Given an integer m > 1, consider the subcubulation C m of C by subdividing each k-dimensional cell of C in m k congruent k-cells in C m, in particular each hypercube in C is subdivided in m 4 congruent hypercubes in C m. the professionals mixed doubles cast