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Multifunctorial inverse
$K\mkern-2mu$-theory
Niles Johnson and Donald Yau |
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Vol. 7 (2022), No. 3, 507–548
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Abstract |
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We show that Mandell’s inverse -theory functor is a categorically enriched nonsymmetric multifunctor. In particular, it preserves algebraic structures parametrized by nonsymmetric operads. As applications, we describe how ring categories arise as the images of inverse -theory. |
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Keywords
inverse $K\mkern-2mu$-theory, enriched multicategory,
multifunctor, permutative category
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Mathematical Subject Classification
Primary: 19D23
Secondary: 18D20, 18M05, 18M65, 55P43
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Milestones
Received: 9 September 2021
Revised: 21 June 2022
Accepted: 15 July 2022
Published: 19 December 2022
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Authors |
| Niles Johnson | |
| Department of Mathematics The Ohio State University at Newark Newark, OH United States |
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| Donald Yau | |
| Department of Mathematics The Ohio State University at Newark Newark, OH United States |
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