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Borel-sets aren't all measurable under the $delta$-approximative d-dimensional Hausdorff measure
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Can you give an example for a finite dimension n why Borel-sets aren't measurable under the $delta$-approximative d-dimensional Hausdorff measure? (as defined here: https://en.wikipedia.org/wiki/Hausdorff_measure#Definition) Thus my question is about an example-Borel-set with this feature.
hausdorff-measure
asked Jul 17 at 12:43
Rico1990
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up vote
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Can you give an example for a finite dimension n why Borel-sets aren't measurable under the $delta$-approximative d-dimensional Hausdorff measure? (as defined here: https://en.wikipedia.org/wiki/Hausdorff_measure#Definition) Thus my question is about an example-Borel-set with this feature.
hausdorff-measure
asked Jul 17 at 12:43
Rico1990
466
Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28
add a comment |Â
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Can you give an example for a finite dimension n why Borel-sets aren't measurable under the $delta$-approximative d-dimensional Hausdorff measure? (as defined here: https://en.wikipedia.org/wiki/Hausdorff_measure#Definition) Thus my question is about an example-Borel-set with this feature.
hausdorff-measure
asked Jul 17 at 12:43
Rico1990
466
Can you give an example for a finite dimension n why Borel-sets aren't measurable under the $delta$-approximative d-dimensional Hausdorff measure? (as defined here: https://en.wikipedia.org/wiki/Hausdorff_measure#Definition) Thus my question is about an example-Borel-set with this feature.
hausdorff-measure
asked Jul 17 at 12:43
Rico1990
466
asked Jul 17 at 12:43
Rico1990
466
asked Jul 17 at 12:43
Rico1990
466
asked Jul 17 at 12:43
Rico1990
466
466
Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28
add a comment |Â
Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28
Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28
Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28
add a comment |Â
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Might someone explain which information you need in addition. We showed it only for $mathbbR^2$ so that I don't know whether this works in higher dimensions. Shall I add this?
– Rico1990
Jul 17 at 15:28