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The descriptive theory of represented spaces [PDF]

open access: yes, 2014
This is a survey on the ongoing development of a descriptive theory of represented spaces, which is intended as an extension of both classical and effective descriptive set theory to deal with both sets and functions between represented spaces.
Pauly, Arno
core  

Discrete isometry groups of symmetric spaces

open access: yes, 2017
This survey is based on a series of lectures that we gave at MSRI in Spring 2015 and on a series of papers, mostly written jointly with Joan Porti. Our goal here is to: 1.
Kapovich, Michael, Leeb, Bernhard
core  

Quasi-isometry classification of RAAGs that split over cyclic subgroups

open access: yes, 2019
For a one-ended right-angled Artin group, we give an explicit description of its JSJ tree of cylinders over infinite cyclic subgroups in terms of its defining graph. This is then used to classify certain right-angled Artin groups up to quasi-isometry. In
Margolis, Alexander
core  

Quasisymmetric Embeddability of Weak Tangents

open access: yes, 2019
In this paper, we study the quasisymmetric embeddability of weak tangents of metric spaces. We first show that quasisymmetric embeddability is hereditary, i.e., if $X$ can be quasisymmetrically embedded into $Y$, then every weak tangent of $X$ can be ...
Li, Wenbo
core  

Symplectic Structures on the Space of Space Curves. [PDF]

open access: yesJ Nonlinear Sci
Bauer M, Ishida S, Michor PW.
europepmc   +1 more source

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