Results 321 to 329 of about 4,543,360 (329)
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Journal of the London Mathematical Society, 2022
We prove a Hurewicz‐type theorem for the dynamic asymptotic dimension originally introduced by Guentner, Willett, and Yu. Calculations of (or simply upper bounds on) this dimension are known to have implications related to cohomology of group actions and
S. Pilgrim
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We prove a Hurewicz‐type theorem for the dynamic asymptotic dimension originally introduced by Guentner, Willett, and Yu. Calculations of (or simply upper bounds on) this dimension are known to have implications related to cohomology of group actions and
S. Pilgrim
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Asymptotic dimension and hyperfiniteness of generic Cantor actions
Groups, Geometry, and DynamicsWe show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation.
Sumun Iyer, Forte Shinko
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, 2015
We introduce dynamic asymptotic dimension, a notion of dimension for actions of discrete groups on locally compact spaces, and more generally for locally compact étale groupoids.
E. Guentner, R. Willett, Guoliang Yu
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We introduce dynamic asymptotic dimension, a notion of dimension for actions of discrete groups on locally compact spaces, and more generally for locally compact étale groupoids.
E. Guentner, R. Willett, Guoliang Yu
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Asymptotic Bounds for the Sizes of Constant Dimension Codes and an Improved Lower Bound
International Castle Meeting on Coding Theory and Applications, 2017We study asymptotic lower and upper bounds for the sizes of constant dimension codes with respect to the subspace or injection distance, which is used in random linear network coding.
Daniel Heinlein, Sascha Kurz
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Higson Corona and Asymptotic Dimension
2018In this chapter we review the construction of the Higson compactification (and corona) and the concept of asymptotic dimension for metric spaces.
Jesús A. Álvarez López +1 more
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On the asymptotic extension dimension
2020?????????? ???????????? ?? ???????????????? ???????????????????????????? ?????????????? ???????????????????? ????????????????????, ???? ?????????????????? ??????????????????????????. ???????????????? ?????????????????? ?????????????? ?? ???????????????????????? ???????????????????????????? ?????? ?????????????????????????? ???????????????????? ?????????
Repovs, D., Zarichnyi, ??.
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Dimension and Fundamental Groups of Asymptotic Cones
Journal of the London Mathematical Society, 1999The goal of this paper is to study the asymptotic cones of some groups which have an exponential Dehn function, in particular, the asymptotic cone of the Baumslag-Solitar groups. Due to a result by Gromov and Drutu, groups with a simple connected asymptotic cone have a polynomial Dehn function, hence the asymptotic cones studied will have a nontrivial ...
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Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams
, 2014D.Z. Bare, J. Orlik, G. Panasenko
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