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Piotr Hajlasz
Piotr Hajlasz
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While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier

T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). 

The paper of Bagby and Gauthier contains a proof of Young's result (Lemma 2 in the paper). The authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). The paper of Bagby and Gauthier contains a proof of Young's result (Lemma 2 in the paper). The authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions:

T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). 

The paper of Bagby and Gauthier contains a proof of Young's result (Lemma 2 in the paper). The authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

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Piotr Hajlasz
Piotr Hajlasz
  • 28k
  • 5
  • 85
  • 184

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). The cited paper of Bagby and Gauthier contains a proof of Young's result (Lemma 2 in the paper) since the. The authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). The cited paper contains a proof (Lemma 2 in the paper) since the authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). The paper of Bagby and Gauthier contains a proof of Young's result (Lemma 2 in the paper). The authors knew the result of Moore, but they were not aware of the generalization obtained by Young.

Source Link
Piotr Hajlasz
Piotr Hajlasz
  • 28k
  • 5
  • 85
  • 184

While the result of Young mentioned in the answer of Greg Kuperberg seems to be of purely topological interest, quite surprisingly, it has applications to study of the structure of the support of Sobolev functions: T. Bagby, P. M. Gauthier, Note on the support of Sobolev functions. Canad. Math. Bull. 41 (1998), no. 3, 257–260. (MathSciNet review). The cited paper contains a proof (Lemma 2 in the paper) since the authors knew the result of Moore, but they were not aware of the generalization obtained by Young.