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arXiv · 2110.09119

The cube axiom and resolutions in homotopy theory

Manfred Stelzer
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Abstract

We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.

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Manfred Stelzer. 2021-10-18. The cube axiom and resolutions in homotopy theory. https://arxiv.org/abs/2110.09119

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