Results 41 to 50 of about 5,121 (158)
Convolution Algebras of Double Groupoids and Strict 2-Groups [PDF]
Symmetry, Integrability and Geometry: Methods and ApplicationsDouble groupoids are a type of higher groupoid structure that can arise when one has two distinct groupoid products on the same set of arrows. A particularly important example of such structures is the irrational torus and, more generally, strict 2-groups. Groupoid structures give rise to convolution operations on the space of arrows.
Angel Román, Joel Villatoro
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OD (order-disorder) interpretation and diffuse scattering analysis of an organic polytype with allotwin character: a detailed how-to. [PDF]
Acta Crystallogr B Struct Sci Cryst Eng MaterThe complex stacking disorder of 2,3‐dihydroxy‐1,3,4‐trimethyl‐6‐oxo‐1,4‐cyclohexadiene‐1‐carboxylic is analyzed by applying the order–disorder theory and its diffuse scattering is interpreted using a growth model.2,3‐Dihydroxy‐1,3,4‐trimethyl‐6‐oxo‐1,4‐cyclohexadiene‐1‐carboxylic acid crystallizes in an order–disorder (OD) structure with a high ...
Fröschl D +4 more
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Characterizations of Abel Grassmann’s Groupoids by the Properties of Their Double-Framed Soft Ideals
International Journal of Analysis and Applications, 2017 WOS ...
Asghar Khan +2 more
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An Index for Graphs and Graph Groupoids
Axioms, 2022 In this paper, we consider certain quantities that arise in the images of the so-called graph-tree indexes of graph groupoids. In text, the graph groupoids are induced by connected finite-directed graphs with more than one vertex.
Ilwoo Cho, Palle Jorgensen
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Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation
Mathematics, 2022 We prove new results on Ulam stability of the nonhomogeneous Cauchy functional equation f(x+y)=f(x)+f(y)+d(x,y) in the class of mappings f from a square symmetric groupoid (H,+) into the set of reals R.
El-sayed El-hady, Janusz Brzdęk
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Q-groupoids and their cohomology [PDF]
, 2009 We approach Mackenzie's LA-groupoids from a supergeometric point of view by introducing Q-groupoids, which are groupoid objects in the category of Q-manifolds.
Mehta, Rajan Amit
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Holonomy and monodromy groupoids [PDF]
, 2001 We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence ...
Brown, Ronald, Icen, Ilhan, Mucuk, Osman
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Segal-type algebraic models of n-types [PDF]
, 2014 For each n\geq 1 we introduce two new Segal-type models of n-types of topological spaces: weakly globular n-fold groupoids, and a lax version of these.
Baues +14 more
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Three themes in the work of Charles Ehresmann: Local-to-global; Groupoids; Higher dimensions [PDF]
, 2006 This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids.
Brown, Ronald
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The transverse index theorem for proper cocompact actions of Lie groupoids [PDF]
, 2014 Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this pairing by applying the van Est
Pflaum, M. J., Posthuma, H., Tang, X.
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