층론

수학노트
Pythagoras0 (토론 | 기여)님의 2021년 2월 12일 (금) 06:39 판 (→‎노트: 새 문단)
(차이) ← 이전 판 | 최신판 (차이) | 다음 판 → (차이)
둘러보기로 가기 검색하러 가기

노트

말뭉치

  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. In order to read or download sheaf theory ebook, you need to create a FREE account.[8]
  18. The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.[9]

소스