Article
Full entry |
PDF
(0.8 MB)
Feedback
PDF
(0.8 MB)
Feedback
Keywords:
Hausdorff dimension; compact plane set; Hausdorff measure
Hausdorff dimension; compact plane set; Hausdorff measure
Summary:
A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line intersects $T$ in at most one point while the $\alpha$-dimensional measure of $T$ is infinite for every $\alpha \in (0,2)$.
References:
[1] S. Saks: Theory of the integral. Dover Publications, 1964. MR 0167578
Search
Partner of
