Length space skeletonization

2020 ◽  
Author(s):  
Melanie King
Keyword(s):  
2013 ◽  
Vol 1 ◽  
pp. 58-68 ◽  
Author(s):  
Stephen M. Buckley ◽  
Bruce Hanson

Abstract We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits.


Author(s):  
Rajendra K Sharma ◽  
Prashant Sharma ◽  
Amitavo R Choudhury ◽  
Sudhir M Sharma ◽  
Suneeta Arya ◽  
...  

2005 ◽  
Vol 179 (2) ◽  
pp. 217-263 ◽  
Author(s):  
José A. Carrillo ◽  
Robert J. McCann ◽  
Cédric Villani
Keyword(s):  

2011 ◽  
Author(s):  
Xiao-Xiao Wei ◽  
Feng Xu ◽  
Yun-feng Nie ◽  
Jian-jun Yu

2015 ◽  
Vol 2015 (708) ◽  
pp. 1-15 ◽  
Author(s):  
Konstantin A. Makarov ◽  
Albrecht Seelmann

AbstractWe consider the problem of variation of spectral subspaces for bounded linear self-adjoint operators in a Hilbert space. Using metric properties of the set of orthogonal projections as a length space, we obtain a new estimate on the norm of the operator angle associated with two spectral subspaces for isolated parts of the spectrum of the perturbed and unperturbed operators, respectively. In particular, recent results by Kostrykin, Makarov and Motovilov from [Proc. Amer. Math. Soc. 131, 3469–3476] and [Trans. Amer. Math. Soc. 359, 77–89] are strengthened.


2012 ◽  
Author(s):  
Quanfeng Guo ◽  
Guang Jin ◽  
Jihong Dong ◽  
Wei Li ◽  
Yanchun Li ◽  
...  

2017 ◽  
Vol 113 ◽  
pp. 224-237 ◽  
Author(s):  
Haibo Zhang ◽  
Wenzhong Wang ◽  
Shengguang Zhang ◽  
Ziqiang Zhao

1997 ◽  
Vol 08 (05) ◽  
pp. 595-610 ◽  
Author(s):  
Andrew Dancer ◽  
Andrew Swann

Two descriptions of quaternionic Kähler quotients by proper group actions are given: the first as a union of smooth manifolds, some of which come equipped with quaternionic Kähler or locally Kähler structures; the second as a union of quaternionic Kähler orbifolds. In particular the quotient always has an open set which is a smooth quaternionic Kähler manifold. When the original manifold and the group are compact, we describe a length space structure on the quotient. Similar descriptions of singular hyperKähler and 3-Sasakian quotients are given.


2006 ◽  
Vol 74 (3) ◽  
Author(s):  
Christina Sormani ◽  
Guofang Wei
Keyword(s):  

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