Timeline for Is an A-infinity thing the same the same as strict thing viewed through a homotopy equivalence?
Current License: CC BY-SA 2.5
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Jan 12, 2011 at 17:04 | comment | added | Ben Wieland | The first example of a rigidification theorem like this is that a monoidal category is equivalent to a strict monoidal category. One adds new objects with names like $A\Box B\Box C$, with morphisms by making them isomorphic to $(A\Box B)\Box C$. Another way to say this is that one forms the free strict monoidal category, but then changes the morphisms to make it equivalent to the old category. | |
Jan 12, 2011 at 5:23 | comment | added | Mariano Suárez-Álvarez | What do you mean by all the shoulds in the first paragraph? | |
Jan 12, 2011 at 5:14 | history | answered | Ben Wieland | CC BY-SA 2.5 |