geometric realization on $\mathbf{sTop}$

Is geometric realization $|\cdot|:\mathbf{Top}^{\mathbf{\Delta}^{\textrm{op}}}\rightarrow \mathbf{Top}$ a left Quillen functor? If so, under what model structure on $\mathbf{Top}^{\mathbf{\Delta}^{\textrm{op}}}$? I would guess the Reedy model structure.

A reference would be ideal.

Thanks

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Shouldn't it be "left" instead of "right"? – Tom Goodwillie Mar 23 '11 at 0:05
yeah left. oops, thanks! – Alan Wilder Mar 23 '11 at 5:51