| Title:
|
The Hausdorff dimension of some special plane sets (English) |
| Author:
|
Mařík, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
359-366 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 $\alpha \in (0,2)$. (English) |
| Keyword:
|
Hausdorff dimension |
| Keyword:
|
compact plane set |
| Keyword:
|
Hausdorff measure |
| MSC:
|
28A05 |
| MSC:
|
28A78 |
| idZBL:
|
Zbl 0813.28001 |
| idMR:
|
MR1316587 |
| DOI:
|
10.21136/MB.1994.126119 |
| . |
| Date available:
|
2009-09-24T21:06:45Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126119 |
| . |
| Reference:
|
[1] S. Saks: Theory of the integral.Dover Publications, 1964. MR 0167578 |
| . |
