Results 31 to 40 of about 338 (140)
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Completeness in the Mackey topology [PDF]
, 2015 Bonet and Cascales [Non-complete Mackey topologies on Banach spaces, Bulletin of the Australian Mathematical Society, 81, 3 (2010), 409-413], answering a question of M. Kunze and W.
Guirao Sánchez, Antonio José +3 more
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Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
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Strongly continuous posets and the local Scott topology
, 2008 In this paper, the concept of strongly continuous posets (SC-posets, for short) is introduced. A new intrinsic topology—the local Scott topology is defined and used to characterize SC-posets and weak monotone convergence spaces.
Mao, Xuxin, Xu, Luoshan
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, 2023 summary:We consider the Golomb and the Kirch topologies in the set of natural numbers. Among other results, we show that while with the Kirch topology every arithmetic progression is aposyndetic, in the Golomb topology only for those arithmetic ...
Alberto-Domínguez, José del Carmen +2 more
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Totally Brown subsets of the Golomb space and the Kirch space [PDF]
, 2022 summary:A topological space $X$ is totally Brown if for each $n \in \mathbb{N} \setminus \{1\}$ and every nonempty open subsets $U_1,U_2,\ldots,U_n$ of $X$ we have ${\rm cl}_X(U_1) \cap {\rm cl}_X(U_2) \cap \cdots \cap {\rm cl}_X(U_n) \ne \emptyset ...
Alberto-Domínguez, José del Carmen +2 more
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Tensorial permanence of K$K$‐stability for diagonal AH‐algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study K$K$‐stability for tensor products of diagonal AH‐algebras with arbitrary C*‐algebras. Our main result provides a characterization of K$K$‐stability: For a diagonal AH‐algebra A=lim→(Ai,φi)$A = \varinjlim (A_i, \varphi _i)$, A⊗B$A \otimes B$ is K$K$‐stable for every C*‐algebra B$B$ if and only if the sizes of the matrix blocks in the ...
Apurva Seth
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The Golomb space is topologically rigid [PDF]
, 2021 summary:The Golomb space ${\mathbb N}_\tau$ is the set ${\mathbb N}$ of positive integers endowed with the topology $\tau$ generated by the base consisting of arithmetic progressions $\{a+bn: n\ge 0\}$ with coprime $a,b$. We prove that the Golomb space ${
Spirito, Dario +2 more
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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On cohomology of locally profinite sets
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
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