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304 papers in math.CT · page 2
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Star-product yields central series for cocommutative Hopf braces
Central series of cocommutative Hopf braces
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Lectures recast topology as condensed sets for algebraic use
Lectures on Condensed Mathematics
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Liquid vector spaces ground new analytic geometry
Lectures on Analytic Geometry
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Linear real metrics derive from potential functions
Weighted algebraic topology, II (Real valued metrics)
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Relative metrics equip special-relativity spacetime with an antimetric
Weighted algebraic topology, II (Real valued metrics)
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Side-preserving duality induces self-bijection on definable subcategories
Revising Auslander-Gruson-Jensen duality
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Simple description of free abelian category clarifies duality
Revising Auslander-Gruson-Jensen duality
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Groupoid crossed Burnside rings decompose as products of group rings
Crossed Burnside rings for groupoids
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Groupoid double cosets counted via extended Cauchy-Frobenius lemma
Double coset for groupoids
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Colimit over monoidal envelope computes free O-algebras
Free algebras via monoidal envelopes
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Categorical spectra tensor derives singular cobordism hypothesis
The Algebra of Categorical Spectra
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Absence of units makes linearly distributive categories coherent
Linearly distributive coherence in the absence of units
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Monads in 2-categories form two double categories
Monads in 2-categories
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Incidence algebras compute global dimension of incomplete Mackey functors
Global dimension of the category of rational incomplete Mackey functors for a finite abelian group G
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Probe complexes yield graded polynomials for BPS input
From Finite-Node Conifold Geometry to BPS Structures III: Mediated Triangle Transport and Graded Interaction Data
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Gorenstein injective cotorsion pairs complete iff Tate trivial generators exist
Accessibility and Gorenstein injective envelopes
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Effective epi topology equals canonical on (n,1)-topoi
Geometric Categories and Sheaves on Topoi
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Defect triangle computes 202-rank middle defect for 125-node quintic
Defect Triangles and Intersection-Space Hodge Atom Shadows for Calabi--Yau Conifolds
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Cohomology detects arbitrage as loop obstructions in time categories
Martingale Cohomology, Holonomy, and Homological Arbitrage
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Closed loops in filtrations create homological arbitrage
Martingale Cohomology, Holonomy, and Homological Arbitrage
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Operadic spectrum controls functor calculus with error bounds
Spectral Operadic Calculus: Norm-Analytic Functor Calculus
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Stable categories reconstruct from hearts via two-step completion
Unbounded Weight Structures: (Re)construction and Completion
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Sierpiński cone classifies partial maps only in localised Segal subuniverse
The Synthetic Sierpi\'nski Cone
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Torsion in singularities is codimension-two only
Torsion Trajectories from Local Discriminants to Global Obstructions
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Module-valued ODE solution spaces are finitely generated submodules
Module-valued ordinary differential equations and structure of solution spaces
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Module-valued ODE solution spaces are finitely generated
Module-valued ordinary differential equations and structure of solution spaces
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Local reverse-mode gradients work for acyclic stochastic diagrams
Colored Markov polycategories and diagrammatic differentiation
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Quasi-pseudometric modular spaces form quantale-enriched categories
Quasi-pseudometric modular spaces as $\mathscr{Q}$-categories
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Thread quiver representations form hereditary categories
On the Hereditariness of the Representations of Thread Quivers
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Computable étale spaces match maps into overt-discrete spaces
A note on computable \'{e}tale spaces
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Schröder trees factor spectra of graphs from iterated composition
Polynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition
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Aggregation functions are exactly lax quantale morphisms
Aggregation functions as lax morphisms of quantales
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Category theory turns biological hierarchies into engineered actuators
A Category-Theoretic Framework from Biological Mechanics to Engineered Stimulus-Response Systems
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Silting subcategory finiteness equivalent to t-structure restriction
Metrics on triangulated categories and restrictions of (co)-$t$-structures
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Hovey triples extend to objects of finite Q-resolution dimension
Approximations and Hovey triples by objects of finite homological dimensions: Applications to sheaves
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Orbit atom spectrum subsets classify tensor torsion-free classes
Atom spectra of symmetric monoidal abelian categories and classification of subcategories
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Monads unify classical, fuzzy and probabilistic semantics in ULLER
NeSyCat: A Monad-Based Categorical Semantics of the Neurosymbolic ULLER Framework
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Generalized associativity strictifies F1 hyper-addition to group addition
Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
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Diagrams turn lax monoidal functors into strict ones from L(C)
Diagrammatics for lax and Frobenius monoidal functors and weak morphism classifiers
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Bornological rings allow Artin-Lurie theorem to represent PDE solution stacks
A Bornological Perspective on the Representability of Derived Moduli Stacks of Solutions to PDEs
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Hereditary Hovey triples chain into equivalent model structures
Chains of model structures arising from cotorsion pairs on extriangulated categories
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2-nilpotent groups admit weak action representation by abelian groups
Weak action representability of 2-nilpotent groups
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Diagrams of Eilenberg-MacLane spaces are formal over Q
On formality of diagrams of Eilenberg-MacLane spaces
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Presheaf constructions exhibit free cocompletions in virtual equipments
Presheaves and cocompletions in formal category theory
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E-triangle morphisms decompose into homotopic compositions
Homotopic morphisms and diagram theorems in extriangulated categories
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Group E matches link torsion and resolution discriminant for singularities
Integral Perverse Obstructions for Normal Surface Singularities: Resolution Determinants and Monodromy
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Any finite group realized as tilde chi of a McDuff II1 factor
Gauging the Categorical Connes' $\tilde{\chi}(M)$
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Stone dualities link modal frames to spaces with binary relations
Topological Dualities for Modal Algebras
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AB5 categories can have no non-zero injectives
Injectivity paucity in AB5 categories of oversize chains
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Parameterized maps yield Künneth theorems for persistence modules
A continuum of K\"unneth theorems for persistence modules