Permutative categories, multicategories and algebraicK–theory

By A. Elmendorf, Michael A. Mandell. Algebraic & Geometric Topology, 2007

50 citations recorded by the source corpus.

We show that the $K$-theory construction of arXiv:math/0403403, which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with the multiplicative structure still preserved. The source category of arXiv:math/0403403, whose objects are permutative categories, maps fully and faithfully to the new source category, whose objects are (based) multicategories.

Subfields: Artificial Intelligence, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/53beb9b426ae686a0b2c83ba39d53f69851cfaab

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In Artificial Intelligence

1. D. Gepner
2. Moritz Groth
3. T. Nikolaus

In Geometry and Topology

1. T. Nikolaus
2. Moritz Groth
3. D. Gepner
4. Greg Stevenson
5. L. Cohn
6. A. Mathew

In Mathematical Physics

1. T. Nikolaus
2. Moritz Groth
3. D. Gepner
4. Greg Stevenson
5. L. Cohn
6. A. Mathew

Citations in the corpus

• Universality of multiplicative infinite loop space machines (2013, methodology): “given alternative constructions of multiplicative structure on K-theory spectra: most notably, Elmendorf and Mandell promote the infinite loop space machine of Segal to a multifunctor in [EM06] and in [EM09] they extend the K-theory functor from symmetric monoidal categories to symmetric multicategor”