5:50 PM
Let $X$ be a CW complex then we may consider the simplicial set $EX_{\bullet} : [n] \mapsto X^{\times n+1}$ with the face maps being projections and degeneracies being diagonals. I'm pretty sure that the $n$-th geometric realization is homeomorphic to the $n$-fold join of $X$ with itself i.e. $|Sk^n (EX_{\bullet})| \cong X^{\ast n}$
« first day (2247 days earlier) ← previous day next day → last day (1156 days later) »