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A Monadic Interpretation of Categorical Mackey Functors- [electronic resource]
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A Monadic Interpretation of Categorical Mackey Functors- [electronic resource]
Detailed Information
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214100117
- ISBN
- 9798379750855
- DDC
- 510
- 서명/저자
- A Monadic Interpretation of Categorical Mackey Functors - [electronic resource]
- 발행사항
- [S.l.]: : University of Pennsylvania., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(165 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- 주기사항
- Advisor: Merling, Mona.
- 학위논문주기
- Thesis (Ph.D.)--University of Pennsylvania, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약We study a monadic version of categorical Mackey functors proposed by Bonventre which we call ΣˆG≀(−)-algebras or ΣGAs. These are algebras over the monad ΣˆG≀(−) in categories fibered over FinG satisfying an additivity condition. The monad operation encode genuine commutative operations, which we can also interpret as transfers. These have several conditions we can strengthen or weaken, offering substantial flexibility. By varying the conditions on these algebras, we show we can recover the permutative Mackey functors of Bohmann-Osorno and the symmetric monoidal Mackey functors of Hill-Hopkins. In the process we construct a convenient strict (2,1)-category of spans. We also define G-commutative monoids in a ΣGA..
- 일반주제명
- Mathematics.
- 일반주제명
- Theoretical mathematics.
- 일반주제명
- Applied mathematics.
- 키워드
- Category theory
- 키워드
- Homotopy theory
- 키워드
- Algebras
- 키워드
- Mackey functors
- 기타저자
- University of Pennsylvania Mathematics
- 기본자료저록
- Dissertations Abstracts International. 84-12B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214100117
■006m o d
■007cr#unu||||||||
■020 ▼a9798379750855
■035 ▼a(MiAaPQ)AAI30423044
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aGunther, Elijah H.
■24512▼aA Monadic Interpretation of Categorical Mackey Functors▼h[electronic resource]
■260 ▼a[S.l.]:▼bUniversity of Pennsylvania. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(165 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 84-12, Section: B.
■500 ▼aAdvisor: Merling, Mona.
■5021 ▼aThesis (Ph.D.)--University of Pennsylvania, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aWe study a monadic version of categorical Mackey functors proposed by Bonventre which we call ΣˆG≀(−)-algebras or ΣGAs. These are algebras over the monad ΣˆG≀(−) in categories fibered over FinG satisfying an additivity condition. The monad operation encode genuine commutative operations, which we can also interpret as transfers. These have several conditions we can strengthen or weaken, offering substantial flexibility. By varying the conditions on these algebras, we show we can recover the permutative Mackey functors of Bohmann-Osorno and the symmetric monoidal Mackey functors of Hill-Hopkins. In the process we construct a convenient strict (2,1)-category of spans. We also define G-commutative monoids in a ΣGA..
■590 ▼aSchool code: 0175.
■650 4▼aMathematics.
■650 4▼aTheoretical mathematics.
■650 4▼aApplied mathematics.
■653 ▼aCategory theory
■653 ▼aHomotopy theory
■653 ▼aAlgebras
■653 ▼aMackey functors
■690 ▼a0405
■690 ▼a0642
■690 ▼a0364
■71020▼aUniversity of Pennsylvania▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g84-12B.
■773 ▼tDissertation Abstract International
■790 ▼a0175
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16931784▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
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