具有Reifenberg性质的集合的Minkowski维数与Packing维数的比较
Minkowski and packing Dimension comparisons for sets with Reifenberg properties
摘要：
在Koeller的\cite{koerprops}的12个变种的Reifenberg属性已知是有助于理论的极小曲面进行了分类相对于各种豪斯多夫措施为基础的措施理论性质。分类导致考虑精细的几何性质和连接到分形几何。目前的工作发展了这种联系，并扩大了分类考虑闵可夫斯基维，包装尺寸，措施，和rectifiability，和平等的包装和Hausdorff措施与有趣的结果。
英文摘要：
In Koeller \cite{koerprops} the twelve variants of the Reifenberg properties known to be instrumental in the theory of minimal surfaces were classified with respect to various Hausdorff measure based measure theoretic properties. The classification lead to the consideration of fine geometric properties and a connection to fractal geometry. The current work develops this connection and extends the classification to consider Minkowski-dimension, packing dimension, measure, and rectifiability, and the equality of packing and Hausdorff measures with interesting results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
