Spaces with nonpositive curvature and their ideal boundaries

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Hadamard spaces with isolated flats (2004, unknown): “Geometry & Topology, Volume 9 (2005)”
Morse Boundaries of Proper Geodesic Metric Spaces (2015, background): “group. The visual boundary for a CAT(0) space can be similarly deﬁned. Unfortunately, Croke and Kleiner show that the visual boundary of a CAT(0) space is not generally preserved under quasi-isometry [CK00]. Charney and Sultan in [CS13] showed that if one restricts their attention to rays with hyper”
Contracting boundaries of CAT(0) spaces (2013, methodology): “Croke and Kleiner refer to these components as “blocks”.”
Boundaries and JSJ Decompositions of CAT(0)-Groups (2007, background): “We note that Croke-Kleiner ([14]) showed it is possible for a 1-ended group G to act geometrically on CAT(0) spaces X, Y such that ∂X, ∂Y are not homeomorphic.”
Isometry groups of non‐positively curved spaces: structure theory (2008, background): “(iii) In the context of (ii), we recall that in general two CAT(0) spaces with the same cocompact isometry group need not have homeomorphic boundaries [30].”
Boundaries and automorphisms of hierarchically hyperbolic spaces (2016, background): “T(0) metric on X is far aﬁeld from our present discussion, since the HHS structure depends only on the combinatorics of Xand is insensitive to changes in the CAT(0) metric (unlike the visual boundary [CK00]), so we will not give a detailed proof of the above. The missing part is the construction of ”