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7 votes
0 answers
574 views

What is the geometric intuition for the sheaf-theoretic terms "soft", "fine", and "flabby"?

The sheaf-theoretic terms "soft", "flabby", and "fine" are of an obviously geometric character, and suggest opposition with "hard", "rigid", and "coarse" sheaves (I'm just inventing these terms here). ...
ಠ_ಠ's user avatar
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6 votes
0 answers
322 views

What's the point of fine sheaves? (As opposed to soft ones)

Why do people care to define fine sheaves? What useful property do they have for which softness is not sufficient? some observations (because I feel guilty about a the one-line question): The point ...
Carlos Esparza's user avatar
3 votes
0 answers
186 views

The site and the space

There is a (seemingly simple) statement in the literature on sheaf theory, namely, If $E$ is the site of opens of a topological space $X$, the notion of sheaf over $X$ coincides with that of sheaf of ...
user234212323's user avatar
2 votes
0 answers
253 views

Is there something interesting in the uniqueness condition for a sheaf?

After digesting the Presheaf definition by the very first time, one feels (at least I felt) a strange sensation noticing the existence and uniqueness conditions to graduate that Presheaf as a sheaf, ...
Luis Felipe's user avatar