show/hide this revision's text 2 edited title

Homeomorphism onto a closed subset of a scheme that isn't a closed immersion

show/hide this revision's text 1

Homeomorphism onto a closed subset that isn't a closed immersion

More precisely, is there a map of schemes $X$ --> $Y$ such that $f$ gives a homeomorphism between $X$ and a closed subset of $Y$, but the corresponding map on sheaves is not surjective?