We prove that every continuous domain that fails to be algebraic admits the unit interval as its Scott-continuous retract; consequently, every countable continuous domain is algebraic and countable FS-domains are RB-domains.
We prove that every continuous domain that fails to be algebraic admits the unit interval as its Scott-continuous retract; consequently, every countable continuous domain is algebraic and countable FS-domains are RB-domains.
Building on work of Harer, we construct a spine for the decorated Teichmüller space of a non-orientable surface with at least one puncture and negative Euler characteristic. We compute its dimension, and show that the deformation retraction onto this spine is equivariant with respect to the pure mapping class group of the non-orientable surface. As a consequence, we obtain a model for the classifying space for proper actions of the pure mapping class group of a punctured non-orientable surface, which is of minimal dimension in the case there is a single puncture.
In this paper, we study the space-fractional wave equation
We exhibit several bounds for operator norms of the sum of -free semicircular random variables introduced in the paper of Speicher and Wysoczański. In particular, using the first and second largest eigenvalues of the adjacency matrix , we show analogs of the operator-valued Khintchine-type inequality obtained by Haagerup and Pisier.
We construct exponential maps for which the singular value tends to infinity under iterates while the maps are ergodic. This is in contrast with a result of Lyubich from 1987 which tells that is not ergodic.
We introduce the notion of radical preservation and prove that a radical-preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension. As an application, we prove that every bound quiver algebra with quasi-uniform Loewy length, a class of algebras introduced in this paper, has finite finitistic dimensions. The same result holds more generally in the context of semiprimary rings. Moreover, we construct an explicit family of such finite-dimensional algebras where the finiteness of their big finitistic dimension does not follow from existing results in the literature.
We prove a novel four-variable character sum identity that serves as a twisted, non-Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists. A key aspect of this work is a new way of explicitly determining the root numbers, which entails delicate arithmetic considerations.
This paper proves the existence of a chiral map with alternating automorphism group for every hyperbolic type. Equivalently, for every pair of natural numbers such that , there is a finite alternating group generated by a pair of elements whose orders are and and whose product is an involution, where furthermore the group does not have an automorphism which inverts these generators. We call on previously known results for when both the valency and the face-length are odd, and present a set of new constructions using permutations for when at least one parameter is even.
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：