3 problems

Let $F_n$ be the homotopy fiber described in the source, and let $D(BU(1))$ carry its standard $E_2$-algebra structure. The uncountability conjecture. There are uncountably many…

Let $X_{\infty}=\varinjlim_nX_n$ be the cofibrant $E_2$-algebra with contractible components, let $\alpha,\alpha'\colon X_{\infty}\to\bigsqcup_nBU(n)$ be $E_2$-maps preserving comp…

Let $FM_2(n)$ be the Fulton–MacPherson operad space, let $F_{k_i}^{\mathbb{R}}\subseteq D_{k_i}(BO(1))$ consist of projectively independent real labels, and let…