2 problems

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The groupal Theta-space conjecture for iterated loop spaces
Groupal Theta-space conjecture. The full subcategory of such objects in $\Theta_n\operatorname{Sp}_k$ should model the homotopy theory of $k$ -types of $n$ -fold loop spaces. This is…
Conjectureopenhigher-categories loop-spaces theta-spacesarXiv posted 2 days ago
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The enriched-category model conjecture for cartesian model categories
Let $C$ be a small category, let $… and suppose that$ M $is a cartesian model category. For an object$ X $of$ M\operatorname{-Cat} $, let$ hX…
Conjectureopenenriched-categories model-categories theta-spacesarXiv posted 2 days ago

The groupal Theta-space conjecture for iterated loop spaces