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Characterizations of generalized John domains in $\mathbb{R}^n$ via metric duality. (arXiv:1710.02050v1 [math.GN])
来源于:arXiv
Using the metric duality theory developed by Vaisala, we characterize
generalized John domains in terms of higher dimensional homological bounded
turning for its complement under mild assumptions. Simple examples indicate
that our assumptions for such a characterization are optimal. Furthermore, we
show that similar results in terms of higher dimensional homotopic bounded
turning do not hold in three dimension. 查看全文>>