Convergence of refinement schemes on metric spaces

Ebner, Oliver

doi:10.1090/S0002-9939-2012-11331-0

Convergence of refinement schemes on metric spaces
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by Oliver Ebner PDF

Proc. Amer. Math. Soc. 141 (2013), 677-686 Request permission

Abstract:

We analyze the convergence of iterative refinement processes on metric spaces, imposing the principle of contractivity to obtain convergence criteria. As a major result, we show that on Hadamard spaces a wide natural class of contractible barycentric subdivision schemes converges.

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