Generalizing classical descriptive set theory opens foundational questions about the Borel hierarchy. In this paper we systematically study those questions, working in the general framework of Polish-like spaces relative to an uncountable cardinal $κ$, possibly singular, satisfying $2^{<κ}=κ$.
Agostini, Claudio +3 more
openaire +2 more sources
Interpolation categories for conformal embeddings
Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
wiley +1 more source
Nonamenable subforests of multi‐ended quasi‐pmp graphs
Abstract We prove the a.e. nonamenability of locally finite quasi‐pmp Borel graphs whose every component admits at least three nonvanishing ends with respect to the underlying Radon–Nikodym cocycle. We witness their nonamenability by constructing Borel subforests with at least three nonvanishing ends per component, and then applying Tserunyan and ...
Ruiyuan Chen +2 more
wiley +1 more source
Maximal Dissipation and Well-Posedness of the Euler System of Gas Dynamics. [PDF]
Feireisl E +2 more
europepmc +1 more source
Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +1 more source
The Stieltjes Moment Problem in Gelfand-Shilov Spaces Defined by Weight Sequences in the Absence of Derivation Closedness. [PDF]
Jiménez-Garrido J +3 more
europepmc +1 more source
Higher representation stability for ordered configuration spaces
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes defined by sequences with shifted moments. [PDF]
Jiménez-Garrido J +3 more
europepmc +1 more source
Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case. [PDF]
Almi S, Davoli E, Kubin A, Tasso E.
europepmc +1 more source

