• Corpus ID: 244130153

# Multicategories Model All Connective Spectra

```@inproceedings{Johnson2021MulticategoriesMA,
title={Multicategories Model All Connective Spectra},
author={Niles Johnson and Donald Yau},
year={2021}
}```
• Published 16 November 2021
• Mathematics
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
• 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
• Mathematics
Journal 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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