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Let K be a compact subset of Rn, 0 ⩽ s ⩽ n. Let P0s, Ps denote s‐dimensional packing premeasure and measure, respectively. We discuss in this paper the relation between P0s and Ps. We prove: if P0s(K)<∞, then Ps(K)=P0s(K); and if P0s(K)=∞, then for any ε > 0, there exists a compact subset F of K such that Ps(F)=P0s(F) and Ps(F) ⩾ Ps(K) − ε. 1991 Mathematics Subject Classification 28A80, 28A78.
Bulletin of the London Mathematical Society – Wiley
Published: Nov 1, 1999
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