Results 51 to 60 of about 7,261 (161)
$C^*$-algebraic drawings of dendroidal sets
, 2019 In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
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On reflective subcategories of locally presentable categories
Theory and Applications of Categories, 2015 Are all subcategories of locally finitely presentable categories that are closed under limits and $ $-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case $ =\aleph_0$ the answer is affirmative also for all iso-full subcategories, \emph{i.\thinspace e.}, those ...
Adámek, J., Rosický, J.
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Homotopical commutative rings and bispans
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen +3 more
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Purity, ascent and periodicity for Gorenstein flat cotorsion modules
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
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Gabriel-Ulmer duality for topoi and its relation with site presentations
, 2019 Let $\kappa$ be a regular cardinal. We study Gabriel-Ulmer duality when one restricts the 2-category of locally $\kappa$-presentable categories with $\kappa$-accessible right adjoints to its locally full sub-2-category of $\kappa$-presentable ...
Di Liberti, Ivan, González, Julia Ramos
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Algebraic lattices and locally finitely presentable categories [PDF]
Algebra universalis, 2011 Lattices of subobjects and lattices of quotients are ubiquitous in universal algebra and their basic property is that they are algebraic. The author extends this fact from varieties of universal algebras to locally finitely presentable categories.
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The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
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The derived category with respect to a generator
, 2014 Consider a Grothendieck category $\mathcal{G}$ along with a choice of generator $G$, or equivalently a generating set $\{G_i\}$. We introduce the derived category $\mathcal{D}(G)$, which kills all $G$-acyclic complexes, by putting a suitable model ...
Gillespie, James
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Functors on locally finitely presented additive categories [PDF]
Colloquium Mathematicum, 1998 Functors on locally presented additive categories play a very important role in the general module theory as well as in the representation theory of Artin algebras. An enormous amount of information on this basic area of module categories requires a necessity of a clear, easily understandable, relatively short expository work.
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Finiteness properties and relatively hyperbolic groups
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1445-1452, May 2025.Abstract We show that properties Fn$F_n$ and FPn$FP_n$ hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are at least countably many distinct quasi‐isometry classes of one‐ended non‐amenable groups that are type Fn$F_n$ but not Fn+1$F_{n+1}$ and similarly of type FPn ...
Harsh Patil
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