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# This opens up the possibility of applying the powerful methods of sheaf theory to the study of the structure of these notions.<ref name="ref_6be52624" /> | # This opens up the possibility of applying the powerful methods of sheaf theory to the study of the structure of these notions.<ref name="ref_6be52624" /> | ||
# This opens the door to the use of the powerful methods of sheaf theory in the study of non-locality and contextuality.<ref name="ref_6be52624" /> | # This opens the door to the use of the powerful methods of sheaf theory in the study of non-locality and contextuality.<ref name="ref_6be52624" /> | ||
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# The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.<ref name="ref_1cae5c93">[https://www.nsf.gov/awardsearch/showAward?AWD_ID=1854232&HistoricalAwards=false Microlocal Sheaves, Symplectic Geometry and Applications in Representation Theory]</ref> | # The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.<ref name="ref_1cae5c93">[https://www.nsf.gov/awardsearch/showAward?AWD_ID=1854232&HistoricalAwards=false Microlocal Sheaves, Symplectic Geometry and Applications in Representation Theory]</ref> | ||
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===소스=== | ===소스=== | ||
<references /> | <references /> | ||
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+ | == 메타데이터 == | ||
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+ | ===위키데이터=== | ||
+ | * ID : [https://www.wikidata.org/wiki/Q77827144 Q77827144] | ||
+ | ===Spacy 패턴 목록=== | ||
+ | * [{'LOWER': 'sheaf'}, {'LEMMA': 'theory'}] |
2021년 2월 12일 (금) 06:41 기준 최신판
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]
- The approach is based on the microlocal sheaf theory, which was invented as an algebraic and topological method to study differential equations.[8]
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
- ↑ Microlocal Sheaves, Symplectic Geometry and Applications in Representation Theory
메타데이터
위키데이터
- ID : Q77827144
Spacy 패턴 목록
- [{'LOWER': 'sheaf'}, {'LEMMA': 'theory'}]