sheaf

You CAN hold it, like a notebook or sheaf of paper.

Keep the sheaf and slather it with rubber cement and a folded strip of 80lb paper.

I guess this is because the structure sheaf of the spectrum of a field is a constant sheaf.

Yup, like a cassette with its tape spilling out. Just imagine dropping the sheaf of papers on your way to the scanner!

But that took considerably more time and effort than simply thumbing through a sheaf of papers.

We want to do this frictionlessly and in real-time rather than with some paperwork sheaf that gets mailed to you a week later.

Otherwise you wind up with reams of wasted paper and mental overhead grappling with the sheaf of low-entropy code you've got.

"Here," I said, pulling out a sheaf of papers, "is the source code for a small Scheme interpreter I wrote in Java..."He waved me off, that was good enough for him.

That's the same consciousness sheaf on the same space doing the same computations, and there is little reason to believe the algorithm would feel any different from the inside.

Similarly cohomology of a topological space looks simpler than cohomology of a scheme with coefficients in a sheaf.

Have you not seen the paperwork that come with high end computer equipment - I helped by some Pr1me gear back in the day and along with the kit came a sheaf of paperwork explaining just how much shit you would be in if you reexported it to one of the country's on the naughty list.

His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics.