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We propose a new framework for the study of continuous time dynamical systems on networks. We view such dynamical systems as collections of interacting control systems. We show that a class of maps between graphs called graph fibrations give rise to maps between dynamical systems on networks. This allows us to produce conjugacy between dynamical systems out of combinatorial data. In particular we show that surjective graph fibrations lead to synchrony subspaces in networks. The injective graph fibrations,...

Modular operads with connected sum and Barannikov’s theory

Lada Peksová (2020)

Archivum Mathematicum

We introduce the connected sum for modular operads. This gives us a graded commutative associative product, and together with the BV bracket and the BV Laplacian obtained from the operadic composition and self-composition, we construct the full Batalin-Vilkovisky algebra. The BV Laplacian is then used as a perturbation of the special deformation retract of formal functions to construct a minimal model and compute an effective action.

Modular theory, non-commutative geometry and quantum gravity.

Bertozzini, Paolo, Conti, Roberto, Lewkeeratiyutkul, Wicharn (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Modules.

Cockett, J. R. B., Koslowski, J., Seely, R. A. G., Wood, R. J. (2003)

Theory and Applications of Categories [electronic only]

Modules commuting (via Hom) with some colimits

Robert El Bashir, Tomáš Kepka, Petr Němec (2003)

Czechoslovak Mathematical Journal

For every module $M$ we have a natural monomorphism $Ψ : \underset{i \in I}{∐} {H o m}_{R} (M, A_{i}) \to {H o m}_{R} (M, \underset{i \in I}{∐} A_{i})$ and we focus our attention on the case when $Ψ$ is also an epimorphism. Some other colimits are also considered.

Modules commuting (via Hom) with some limits

Robert El Bashir, Tomáš Kepka (1998)

Fundamenta Mathematicae

For every module M we have a natural monomorphism $Φ : ∐_{i \in I} H o m_{R} (A_{i}, M) \to H o m_{R} (\prod_{i \in I} A_{i}, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

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Modality in open Institutions with Concrete Syntax

Model structures for homotopy of internal categories.

Model theoretic approach to concrete categories

Model theoretic approach to topological functors

Model-categories of coalgebras over operads.

Models for synthetic supergeometry

Models of differential algebra in the context of synthetic differential geometry

Models of sketches

Model-theoretic characterisations of convenience properties in topological categories

Moderate and formal cohomology associated with constructible sheaves

Modular dynamical systems on networks

Modular operads with connected sum and Barannikov’s theory

Modular theory, non-commutative geometry and quantum gravity.

Modules.

Modules commuting (via Hom) with some colimits

Modules commuting (via Hom) with some limits

Modules de $S U$ -bordisme. Couples exacts cohérents

Modules de $S U$ -bordisme. $𝒮$ -résolutions de complexes finis

Modules of finite length and $K$ -groups of surface singularities

Modules over a quantale and models for the operator $!$ in linear logic

Currently displaying 21 – 40 of 91