Geodesic
Asymptotic Dimension of Proper CAT(0) Spaces that are Homeomorphic to the Plane
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 629-638

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DOI

In this paper, we investigate a proper $\text{CAT(0)}$ space $(X,\,d)$ that is homeomorphic to ${{\mathbb{R}}^{2}}$ and we show that the asymptotic dimension asdim $(X,\,d)$ is equal to 2.
DOI : 10.4153/CMB-2010-069-1
Mots-clés : 20F69, 54F45, 20F65, asymptotic dimension, CAT(0) space, plane 
Chinen, Naotsugu; Hosaka, Tetsuya. Asymptotic Dimension of Proper CAT(0) Spaces that are Homeomorphic to the Plane. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 629-638. doi: 10.4153/CMB-2010-069-1
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     author = {Chinen, Naotsugu and Hosaka, Tetsuya},
     title = {Asymptotic {Dimension} of {Proper} {CAT(0)} {Spaces} that are {Homeomorphic} to the {Plane}},
     journal = {Canadian mathematical bulletin},
     pages = {629--638},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-069-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-069-1/}
}
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