Timeline for Geometric intuition for limits
Current License: CC BY-SA 3.0
8 events
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Aug 16, 2022 at 22:31 | comment | added | LSpice | I always wonder whether our students who find, say, Calculus, or Introduction to Proof woefully abstract would take any comfort in knowing that the same mathematicians to whom these things are as familiar and manageable as their hands have mathematical concepts that they find impossibly abstract. | |
Nov 5, 2011 at 19:42 | history | edited | Martin Brandenburg | CC BY-SA 3.0 |
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May 3, 2010 at 1:15 | vote | accept | Charles Staats | ||
May 2, 2010 at 22:32 | comment | added | Peter LeFanu Lumsdaine | As you say, the sheaf condition isn't quite stating that the presheaf takes all colimits to limits. However, it is equivalent to stating that the presheaf takes certain colimits to limits: e.g. all colimits of diagrams of the form $S \subset O(X)$, where S is a sub-poset of O(X) closed under intersections. (There are various other classes of colimits which also make this statement true.) | |
May 2, 2010 at 22:17 | comment | added | Steven Gubkin | Very nice! This is probably the most "geometric" answer anyone could ask for! | |
May 2, 2010 at 20:13 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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May 2, 2010 at 20:03 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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May 2, 2010 at 19:53 | history | answered | Martin Brandenburg | CC BY-SA 2.5 |