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Quasisymmetric embeddability of weak tangents
2021
Annales Fennici Mathematici
In this paper, we study the quasisymmetric embeddability of weak tangents of metric spaces. We first show that quasisymmetric embeddability is hereditary, i.e., if X can be quasisymmetrically embedded into Y , then every weak tangent of X can be quasisymmetrically embedded into some weak tangent of Y , given that X is proper and doubling. However, the converse is not true in general; we will illustrate this with several counterexamples. In special situations, we are able to show that the
doi:10.5186/aasfm.2021.4656
fatcat:y7372oiedvez5fve32lpybae4m