On the packing dimension and category of exceptional sets of orthogonal projections

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• 作者：Tuomas Orponen
• 关键词：Projections ; Exceptional sets ; Hausdorff dimension ; Packing dimension ; Baire category ; Primary 28A78 ; Secondary 28A80
• 刊名：Annali di Matematica Pura ed Applicata
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：194
• 期：3
• 页码：843-880
• 全文大小：897 KB
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• 作者单位：Tuomas Orponen (1)
  
  1. Helsinki, Finland
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1618-1891

文摘

We consider several classical results related to the Hausdorff dimension of exceptional sets of orthogonal projections and find out whether they have reasonable formulations in terms of packing dimension. We also investigate the existence of category versions for Marstrand and Falconer–Howroyd-type projection results.