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arXiv · 1909.07965

Homotopy Types of Abstract Elementary Classes

Tim Campion·Jinhe Ye
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Abstract

We prove that for any homotopy type $X$, there is an abstract elementary class $\mathcal{C}$, with joint embedding, almagamation and no maximal models such that the classifying space realizes the homotopy type $X$. We provide a few explicit examples.

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Tim Campion, Jinhe Ye. 2019-09-17. Homotopy Types of Abstract Elementary Classes. https://doi.org/10.1016/j.jpaa.2020.106461

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