# Multicategories Model All Connective Spectra

@inproceedings{Johnson2021MulticategoriesMA, title={Multicategories Model All Connective Spectra}, author={Niles Johnson and Donald Yau}, year={2021} }

There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categories model all connective spectra.

## 2 Citations

### Homotopy Equivalent Algebraic Structures in Multicategories and Permutative Categories

- Mathematics
- 2022

A BSTRACT . We show that the free construction from multicategories to permuta- tive categories is a categorically-enriched non-symmetric multifunctor. Our main result then shows that the induced…

### Multifunctorial K-theory is an equivalence of homotopy theories

- MathematicsJournal of Homotopy and Related Structures
- 2022

We show that each of the three K-theory multifunctors from small permutative categories to G∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

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