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arXiv:1909.07965 [math.LO]AbstractReferencesReviewsResources

Homotopy Types of Abstract Elementary Classes

Tim Campion, Jinhe Ye

Published 2019-09-17Version 1

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

Comments: 11 pages, rough draft. Comments are welcomed
Categories: math.LO, math.AT, math.CT
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