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visits | member for | 4 years, 8 months |
seen | Feb 20 at 3:29 | |
stats | profile views | 18,107 |
Feb 20 |
comment |
Analogues of Primitive Recursive Functions
I'm afraid that I don't follow either. What exactly are you saying you can rule out? |
Feb 19 |
awarded | Nice Question |
Jan 28 |
comment |
Analogues of Primitive Recursive Functions
@Ulrik That paper looks quite relevant, but not exactly what I'm looking for. If I'm reading it right, it seems to be about functions whose totality is provable using very weak set-theoretic assumptions, analogous to the characterization of primitive recursive functions as those functions which are provably total using very weak arithmetic assumptions. But I'm hoping for something which is specific to a fixed admissible set $A$, and specializes to primitive recursive arithmetic when I take $A = HF$. (Something that would generalize PRA, rather than being analogous to PRA.) |
Jan 28 |
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Analogues of Primitive Recursive Functions
@Carlo It is relevant, but I am asking for something more refined: I want to consider not just which sets are $\Sigma_1$-definable in $A$, but when $A$ "knows" that one $\Sigma_1$-set is contained in another. |
Jan 21 |
asked | Analogues of Primitive Recursive Functions |
Jan 21 |
revised |
$(\infty, 1)$-Yoneda embedding via the Grothendieck construction
deleted 1 character in body |
Jan 21 |
revised |
Lower Algebra: Modules over the monoidal category of abelian groups
added 200 characters in body |
Jan 21 |
awarded | Enlightened |
Jan 21 |
awarded | Nice Answer |
Jan 20 |
answered | What would be an infinity-groupoid analogue of the duality between sets and complete atomic boolean algebras? |
Dec 31 |
awarded | Enlightened |
Dec 31 |
awarded | Nice Answer |
Nov 28 |
comment |
Failure of “equivariant triangulation” for finite complexes equipped with a $G$-action
Actually wait: I've misunderstood the question again, and what I said doesn't necessarily apply. (It applies when X comes from a finite object in the "genuine" equivariant category. But your finiteness condition looks like it might be weaker than that, even without allowing retracts.) |
Nov 28 |
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Failure of “equivariant triangulation” for finite complexes equipped with a $G$-action
Ah, misunderstood you. I don't have very much helpful to suggest, then. One comment: in the special case G = Z/p, if a space X with an action of G is to have the form you describe, then it satisfies the Sullivan conjecture. In particular, the homotopy fixed points for the action of G on the p-adic completion X_p must itself arise as the p-adic completion of a finite space. Possibly this could give you a way to test if something is a counterexample? (A finite X w/G action such that (X_p)^hG is not the p-adic completion of anything finite?) |
Nov 28 |
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Failure of “equivariant triangulation” for finite complexes equipped with a $G$-action
In Fun(BG,S), the orbits G/H generally won't be compact when H is nontrivial. But G itself generates the compact objects under finite colimits and retracts (this follows formally from the fact that it is a compact object which corepresents a conservative functor: in this case, the functor which forgets the G-action). |
Oct 18 |
awarded | at.algebraic-topology |
Oct 17 |
comment |
Associative Ring Spectra and Derived Completion
Let I be the fiber of the map A -> B. Then the fiber of the map A -> Tot^n is the (n+1)st smash power of I over A. For these fibers to vanish in the limit, it suffices that they are getting more connected. Since A is connective, it suffices for I to be connected, which is immediate from your hypothesis. |
Oct 17 |
answered | Associative Ring Spectra and Derived Completion |
Oct 13 |
awarded | Good Answer |
Oct 11 |
awarded | Enlightened |