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earned this badge 158 times.
What are some good examples of spectral sequences which degenerate after the first nontrivial differential?
Awarded 13 hours ago
Infinite-dimensional affine space in algebraic geometry and algebraic topology
Awarded Apr 1 at 0:40
Are the real numbers isomorphic to a nontrivial ultraproduct of fields?
Awarded Mar 30 at 18:25
Let $a_1, \dots, a_n$ be a finite set of positive reals. Is there a $\mathbb Q$-basis of $\mathbb R$ where each $a_i$ has nonnegative coordinates?
Awarded Mar 10 at 19:31
On the classification of second-countable Stone spaces
Awarded Feb 19 at 13:27
Example of a Grothendieck category which is not Gabriel?
Awarded Jan 22 at 14:35
Categories on which one can determine all model structures?
Awarded Jan 17 at 19:31
In which categories is the union of subobjects given by the pushout over the intersection?
Awarded Dec 9, 2023 at 13:27
What are some toy models for the stable homotopy groups of spheres?
Awarded Dec 2, 2023 at 20:43
Are Berkeley cardinals easier to refute in ZFC than Reinhardt cardinals?
Awarded Nov 21, 2023 at 15:40
How many automorphisms are there of the category of filtered spectra?
Awarded Oct 31, 2023 at 23:06
Generalized "Homology Whitehead" -- How much does stabilization remember?
Awarded Oct 25, 2023 at 19:16
Is an exponentiable fibration with contractible fibers a homotopy equivalence?
Awarded Oct 25, 2023 at 16:57
Operations on the set of large cardinal axioms
Awarded Oct 15, 2023 at 14:37
What is decategorification?
Awarded Oct 15, 2023 at 12:40
Chromatic representation theory of the symmetric groups?
Awarded Sep 20, 2023 at 15:11
Description of the canonical equivalence between Adelman's free abelian category and Freyd's free abelian category on an additive category?
Awarded Sep 16, 2023 at 8:56
In which category is a measure on a measurable space a morphism?
Awarded Jul 5, 2023 at 21:11
Synthetic differential / conformal geometry of Lorentzian manifolds?
Awarded Jun 29, 2023 at 6:30
Why the stable module category?
Awarded May 1, 2023 at 20:06
Example of an uncountable sequence of abelian groups with nonvanishing $\varprojlim^2$?
Awarded Mar 23, 2023 at 20:49
Is every Grothendieck category with a generator a category of sheaves?
Awarded Feb 1, 2023 at 21:56
Condensed / pyknotic approach to orbifolds?
Awarded Jan 14, 2023 at 20:12
Does every monoidal abelian category admit an exact, lax monoidal functor to abelian groups?
Awarded Jan 7, 2023 at 15:36
Is every additive cohomology operation stable?
Awarded Jan 2, 2023 at 4:25
When is the homotopy category of an accessible $\infty$-category accessible?
Awarded Dec 23, 2022 at 2:56
Why do Grothendieck topologies used in algebraic geometry typically involve finiteness conditions?
Awarded Nov 23, 2022 at 8:06
What is the relationship between Goodwillie calculus and derived deformation theory?
Awarded Oct 18, 2022 at 16:56
How exotic can an infinite biproduct in an additive category be?
Awarded Aug 16, 2022 at 2:42
When is a stable $\infty$-category the stabilization of an $\infty$-topos?
Awarded Jul 7, 2022 at 22:42
Fourier transform on Minkowski space
Awarded Jun 7, 2022 at 19:51
Which abelian groups are $\aleph_1$-filtered colimits of finitely-generated abelian groups?
Awarded Apr 9, 2022 at 17:05
Conceptual reason why the sign of a permutation is well-defined?
Awarded Mar 8, 2022 at 23:35
How many tensor products of chain complexes are there?
Awarded Feb 12, 2022 at 23:35
How to understand the interface of the consistency strength hierarchy, reverse mathematics, and proof-theoretic ordinal analysis?
Awarded Feb 3, 2022 at 6:51
Realizing Stiefel-Whitney classes via vector bundles
Awarded Jan 13, 2022 at 20:00
Does there exist a closed manifold with vanishing reduced rational cohomology but nonvanishing odd torsion cohomology?
Awarded Dec 15, 2021 at 23:22
For which $n$ does there exist a closed manifold of (chromatic) type $n$?
Awarded Dec 13, 2021 at 1:35
Instances of "correcting" the compact objects of a category?
Awarded Oct 30, 2021 at 23:21
Does ZF+AD have any unusual arithmetic consequences?
Awarded Sep 12, 2021 at 12:16
Is every category a localization of a poset?
Awarded Sep 3, 2021 at 16:11
Is Vopenka's Principle + "ORD has the tree property" consistent?
Awarded Aug 8, 2021 at 9:09
Are cofibrations accessible?
Awarded Jul 11, 2021 at 4:17
What are the advantages of simplicial model categories over non-simplicial ones?
Awarded Jun 27, 2021 at 8:11
Do symmetric monoidal groupoids model all connective spectra?
Awarded May 2, 2021 at 7:41
Are finite $G$-spectra idempotent complete?
Awarded Apr 20, 2021 at 20:53
Multiplicative Brown representability?
Awarded Mar 22, 2021 at 9:07
Why do Chern classes and Stiefel-Whitney classes satisfy the "same" Whitney sum formula?
Awarded Mar 21, 2021 at 6:05
Spectral sequences as deformation theory
Awarded Mar 5, 2021 at 10:42
Characterization of functors whose right adjoint is monadic?
Awarded Mar 3, 2021 at 19:40
Condensed / pyknotic sets in terms of forcing over Boolean-valued models of set theory / multiverse concepts?
Awarded Mar 3, 2021 at 10:56
Which topoi are local with respect to Stone-Cech compactification?
Awarded Mar 1, 2021 at 23:51
What are Koszul dualities?
Awarded Feb 25, 2021 at 0:11
Varieties where every algebra is projective?
Awarded Feb 14, 2021 at 20:45
Which limits distribute over which colimits in $Set$? How about in $Spaces$?
Awarded Feb 11, 2021 at 17:35
Do commutative rings with "interesting" Jacobson radicals turn up "in nature"?
Awarded Feb 10, 2021 at 11:52
Is there a condensed / pyknotic refinement of the shape of an $\infty$-topos?
Awarded Feb 9, 2021 at 23:27
Valuation with values in a semiring?
Awarded Feb 4, 2021 at 7:41
Stone duality for the algebra of Boolean functions such that $f(\top,\dots,\top) = \top$, or: What does the presheaf topos on $FinSet_\ast$ classify?
Awarded Jan 27, 2021 at 16:50
Solving polynomial equations in spectra?
Awarded Jan 24, 2021 at 18:26
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