Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeFeb 5th 2016
   • PermaLink
   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
   • PermaLink
   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.)