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  1. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but that is outside the scope of the present book.[1]
  2. Also, relative cohomology is introduced into sheaf theory.[1]
  3. At the same time this also makes it possible to define other cohomology operations in sheaf theory.[2]
  4. A fairly complete account of sheaf theory using resolutions was later given by H. Cartan.[2]
  5. The proof of the de Rham theorem given by A. Weil (1947) and the work of J.-P. Serre (in the early 1950's) on algebraic varieties greatly influenced the development of sheaf theory.[2]
  6. This shows that some of the facets of sheaf theory can also be traced back as far as Leibniz.[3]
  7. Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties.[4]
  8. This particular book and, for that matter, all of the other books devoted solely to sheaf theory are prime examples of this overemphasis.[5]
  9. Thus, he sees no place for a standalone exposition of sheaf theory outside the context of algebraic geometry, which was its main application at the time.[5]
  10. After all, why was I reading a textbook about sheaf theory?[5]
  11. It’s certainly not because I needed sheaf theory as a technical language for algebraic geometry.[5]
  12. The method used applies to a more general context and gives new results in semialgebraic and o-minimal sheaf theory.[6]
  13. This paper uses sheaf theory, a pervasive mathematical method for moving from the local to the global, to study non-locality and contextuality.[7]
  14. We use the mathematics of sheaf theory to analyze the structure of non-locality and contextuality.[7]
  15. This opens up the possibility of applying the powerful methods of sheaf theory to the study of the structure of these notions.[7]
  16. This opens the door to the use of the powerful methods of sheaf theory in the study of non-locality and contextuality.[7]
  17. The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.[8]

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Spacy 패턴 목록

  • [{'LOWER': 'sheaf'}, {'LEMMA': 'theory'}]