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Shaking Schrödinger’s cat     Shaking  Schrodinger’s cat       2017/7/21
You’ve probably heard about Schrödinger’s cat, which famously is trapped in a box with a mechanism that is activated if a radioactive atom decays, releasing radiation. The act of looking in the b...
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to other contexts Rosicky o...
Abstract: This paper provides an effective uniform rate of metastability (in the sense of Tao) on the strong convergence of Halpern iterations of nonexpansive mappings in CAT(0) spaces. The extraction...
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
We prove the K-theoretic Farrell-Jones conjecture with (twisted)coefficients for CAT(0)-groups.
证明了完备CAT(κ)空间中Halpern算法所产生的迭代序列强收敛于非扩张算子的不动点.
CAT-generation of ideals     CAT-generation of ideals  math       2010/11/19
We consider the problem of generating all ideals of a poset. It is a long standing open problem, whether or not the ideals of any poset can be generated in constant amortized time, CAT for short. We ...
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group a...
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...

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