The Hausdorff dimension of some special plane sets

Mařík, Jan. "The Hausdorff dimension of some special plane sets." Mathematica Bohemica 119.4 (1994): 359-366. <http://eudml.org/doc/29273>.

@article{Mařík1994,
abstract = {A compact set $T\subset \mathbf \{R\}^2$ 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 $\alpha \in (0,2)$.},
author = {Mařík, Jan},
journal = {Mathematica Bohemica},
keywords = {Hausdorff dimension; compact plane set; Hausdorff measure; Hausdorff dimension; compact plane set; Hausdorff measure},
language = {eng},
number = {4},
pages = {359-366},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Hausdorff dimension of some special plane sets},
url = {http://eudml.org/doc/29273},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Mařík, Jan
TI - The Hausdorff dimension of some special plane sets
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 4
SP - 359
EP - 366
AB - A compact set $T\subset \mathbf {R}^2$ 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 $\alpha \in (0,2)$.
LA - eng
KW - Hausdorff dimension; compact plane set; Hausdorff measure; Hausdorff dimension; compact plane set; Hausdorff measure
UR - http://eudml.org/doc/29273
ER -