층론
노트
말뭉치
- Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but that is outside the scope of the present book.[1]
- Also, relative cohomology is introduced into sheaf theory.[1]
- At the same time this also makes it possible to define other cohomology operations in sheaf theory.[2]
- A fairly complete account of sheaf theory using resolutions was later given by H. Cartan.[2]
- 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]
- This shows that some of the facets of sheaf theory can also be traced back as far as Leibniz.[3]
- 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]
- This particular book and, for that matter, all of the other books devoted solely to sheaf theory are prime examples of this overemphasis.[5]
- 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]
- After all, why was I reading a textbook about sheaf theory?[5]
- It’s certainly not because I needed sheaf theory as a technical language for algebraic geometry.[5]
- The method used applies to a more general context and gives new results in semialgebraic and o-minimal sheaf theory.[6]
- This paper uses sheaf theory, a pervasive mathematical method for moving from the local to the global, to study non-locality and contextuality.[7]
- We use the mathematics of sheaf theory to analyze the structure of non-locality and contextuality.[7]
- This opens up the possibility of applying the powerful methods of sheaf theory to the study of the structure of these notions.[7]
- This opens the door to the use of the powerful methods of sheaf theory in the study of non-locality and contextuality.[7]
- In order to read or download sheaf theory ebook, you need to create a FREE account.[8]
- The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.[9]
소스
- ↑ 1.0 1.1 Glen E. Bredon
- ↑ 2.0 2.1 2.2 Encyclopedia of Mathematics
- ↑ Sheaf (mathematics)
- ↑ Sheaf Theory | Logic, categories and sets
- ↑ 5.0 5.1 5.2 5.3 Evan Patterson
- ↑ EDMUNDO , PRELLI : Sheaves on $\mathcal T$-topologies
- ↑ 7.0 7.1 7.2 7.3 The sheaf-theoretic structure of non-locality and contextuality
- ↑ [PDF sheaf theory]
- ↑ Microlocal Sheaves, Symplectic Geometry and Applications in Representation Theory