Morse Quasiflats.
2019
We introduce the notion of Morse quasiflats, generalizing Morse quasigeodesics to arbitrary dimension. Under appropriate assumptions on the ambient space we show that a number of alternative definitions are equivalent and quasi-isometry invariant; we also show that Morse quasiflats are asymptotically conical and have canonically defined Tits boundaries. We provide some first applications.
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