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- W4291001566 abstract "For a proper geodesic metric space, the Morse boundary focuses on the hyperbolic-like directions in the space. The Morse boundary is a quasi-isometry invariant. That is, a quasi-isometry between two spaces induces a homeomorphism on their Morse boundaries. In this paper, we investigate additional structures on the Morse boundary which determine the space up to a quasi-isometry. We prove that a homeomorphism between the Morse boundaries of two proper, cocompact spaces is induced by a quasi-isometry if and only if both the homeomorphism and its inverse are bihölder, or quasi-symmetric, or strongly quasi-conformal." @default.
- W4291001566 created "2022-08-13" @default.
- W4291001566 creator A5050783806 @default.
- W4291001566 date "2022-08-11" @default.
- W4291001566 modified "2023-09-25" @default.
- W4291001566 title "Maps on the Morse boundary" @default.
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- W4291001566 doi "https://doi.org/10.1090/ecgd/372" @default.
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