Re: A conditon on maps between sheaves

Steve Vickers wrote:

For example: take B to be the circle and E' its Moebius double cover, which has no global sections. Then for every x in B you can take U = B and your condition holds vacuously for any f whatsoever.

If E = E'+E' then the codiagonal f has your property but is not mono.

I apologize for the noise, I got my conditions all wrong when I tried to "optimize" them for the categories list. As it turns out my condition means that I have a map of etale spaces which is bijective on fibers (and the spaces in question are Hausdorff locally compact). So is there a name for that other than "bijective on fibers"? With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]