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arXiv · 1201.2686

Modeling Stable One-Types

Niles Johnson·Angélica M. Osorno
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Abstract

Classification of homotopy n-types has focused on developing algebraic categories which are equivalent to categories of n-types. We expand this theory by providing algebraic models of homotopy-theoretic constructions for stable one-types. These include a model for the Postnikov one-truncation of the sphere spectrum, and for its action on the model of a stable one-type. We show that a bicategorical cokernel introduced by Vitale models the cofiber of a map between stable one-types, and apply this to develop an algebraic model for the Postnikov data of a stable one-type.

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Niles Johnson, Angélica M. Osorno. 2012-01-12. Modeling Stable One-Types. https://arxiv.org/abs/1201.2686

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