Geodesic
A NOTE ON SOME TOPOLOGICAL PROPERTIES OF SETS WITH FINITE PERIMETER
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 637-647

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DOI

Some well-known results about the 2-density topology on ${\mathcal R}$ (in particular in the context of the Lusin–Menchoff property) are extended to τbm , i.e. the m-density topology on ${\mathcal R}$ n with m ∈ (n,+∞). Every set of finite perimeter in ${\mathcal R}$ n is equivalent (in measure) to a set in τb m 0 , where m 0=n+1+ ${1\over n-1}$ . There exists a set of finite perimeter in ${\mathcal R}$ n which is not equivalent (in measure) to any member in the a.e.-modification of τbm , whatever m ∈ [n,+∞). 
DELLADIO, SILVANO. A NOTE ON SOME TOPOLOGICAL PROPERTIES OF SETS WITH FINITE PERIMETER. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 637-647. doi: 10.1017/S0017089515000385
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     title = {A {NOTE} {ON} {SOME} {TOPOLOGICAL} {PROPERTIES} {OF} {SETS} {WITH} {FINITE} {PERIMETER}},
     journal = {Glasgow mathematical journal},
     pages = {637--647},
     year = {2016},
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     number = {3},
     doi = {10.1017/S0017089515000385},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000385/}
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