Convergence of metric transformed spaces

نویسندگان

چکیده

We consider the metric transformation of measure spaces/pyramids. clarify conditions to obtain convergence sequence transformed spaces from that original sequence, and, conversely, respectively. As an application, we prove spheres and projective with standard Riemannian distance converge a Gaussian space Hopf quotient space, respectively, as dimension diverges infinity.

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2022

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-022-2348-9