Re: Sheaf Problem

I think there is a problem with that presheaf being a sheaf, the
glueing condition is the main difficulty and the difficulty arises from
the fact that g(U1 \cap U2) can be a strict subset of g(U1) \cap g(U2)
for open sets U1 and U2 of Y... *sigh*

Sincerely,
Jose Capco

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Relevant Pages

  • Re: Conditions when a constant presheaf becomes a sheaf
    ... On 21.05.2005 11:46, Jose Capco wrote: ... > I am a bit confused about stuffs pertaining to sheaf theory. ... > constant presheaf I mean with presheaf on a topo space X such that for ... what are the conditions when this constant presheaf ...
    (sci.math)
  • Re: Associated sheaf puzzle
    ... On 14.12.2005 11:19, Jose Capco wrote: ... > I am just trying to get more inuitive with the idea of associated sheaf ... > when I am given a presheaf.. ... > SMALLEST superpresheaf of F (i.e. a presheaf that has F as its ...
    (sci.math)
  • Re: Getting the feel of localizations and schemes
    ... On 05.01.2006 14:46, Jose Capco wrote: ... global sections of the structure sheaf of Specwhich is too restrictive. ... let's call it singularities. ... > construction is very similar to the structure sheaf construction of ...
    (sci.math)
  • Re: The glueing condition on sheaves
    ... Jose Capco wrote: ... > would become itself a sheaf.. ... > could satisfy glueing.. ... > global function associated to each of the F_i's and these are all equal to ...
    (sci.math)
  • Re: Subsheaf with support
    ... On 30.07.2005 19:35, Jose Capco wrote: ... > he defines that subsheaf with support .. ... Let X be a topo space, ... it is not needed to see that this presheaf satisfies the sheaf axiom. ...
    (sci.math)