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Bill Johnson
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Doubling metric spaces, which are studied a lot, have this property. A metric space is doubling provideprovided there exists $n$ so that for every $r>0$, a ball of radius $2r$ is covered by $n$ balls of radius $r$. Google "doubling metric spaces"; some of the half million hits should be useful.

Doubling metric spaces, which are studied a lot, have this property. A metric space is doubling provide there exists $n$ so that for every $r>0$, a ball of radius $2r$ is covered by $n$ balls of radius $r$. Google "doubling metric spaces"; some of the half million hits should be useful.

Doubling metric spaces, which are studied a lot, have this property. A metric space is doubling provided there exists $n$ so that for every $r>0$, a ball of radius $2r$ is covered by $n$ balls of radius $r$. Google "doubling metric spaces"; some of the half million hits should be useful.

Source Link
Bill Johnson
  • 31.5k
  • 5
  • 90
  • 138

Doubling metric spaces, which are studied a lot, have this property. A metric space is doubling provide there exists $n$ so that for every $r>0$, a ball of radius $2r$ is covered by $n$ balls of radius $r$. Google "doubling metric spaces"; some of the half million hits should be useful.