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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeFeb 5th 2016
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   Author: TobyBartels
   Format: MarkdownItexI wrote [[alternating multifunction]], which is perhaps too generalized?

   I wrote alternating multifunction, which is perhaps too generalized?

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeFeb 6th 2016
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   Author: Todd_Trimble
   Format: MarkdownItexI was for a moment worried about base rig as opposed to based ring, but I think it's okay. Back of envelope calculation: $$0 = f(x + y, x + y) = f(x, x) + f(y, x) + f(x, y) + f(y, y) = f(y, x) + f(x, y)$$ which with $f(x, x) = 0$ gives what we want (even in characteristic $2$, right?). The extra generality with pointed sets seems harmless, but does it crop up organically in situations? Do you have an application in mind? (Superalgebra is the niche I tend to place alternating multilinear functions in, although maybe that's been covered elsewhere in the Lab.)

   I was for a moment worried about base rig as opposed to based ring, but I think it’s okay. Back of envelope calculation:

   $$0 = f(x + y, x + y) = f(x, x) + f(y, x) + f(x, y) + f(y, y) = f(y, x) + f(x, y)$$

   which with $f(x, x) = 0$ gives what we want (even in characteristic $2$, right?).

   The extra generality with pointed sets seems harmless, but does it crop up organically in situations? Do you have an application in mind?

   (Superalgebra is the niche I tend to place alternating multilinear functions in, although maybe that’s been covered elsewhere in the Lab.)