Tensor products of topological abelian groups and Pontryagin duality
Journal of Mathematical Analysis and ApplicationsLet $G$ be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group $G$ is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of the group of integers, and equipped with the topology of pointwise convergence on $\ZZ^\NN$, becomes a non reflexive prodiscrete group.
María V. Ferrer +2 more
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On some topological indices of the tensor products of graphs
Discrete Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Pattabiraman, P. Paulraja
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Topological modules. Banach algebras, tensor products, algebras of kernels [PDF]
Transactions of the American Mathematical Society, 1967 Jesús Gil de Lamadrid
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Coproducts in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
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The diagonal of the multiplihedra and the tensor product of
Journal de l'École polytechnique. Mathématiques, 2022 We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule structure over the Loday realizations of the associahedra.
Guillaume Laplante‐Anfossi +1 more
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On the first and second Zagreb indices of some products of signed graphs
AKCE International Journal of Graphs and Combinatorics, 2023 Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product ...
Shivani Rai, Biswajit Deb
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Matrix product operator symmetries and intertwiners in string-nets with domain walls
SciPost Physics, 2021 We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models.
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
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Classifying phases protected by matrix product operator symmetries using matrix product states [PDF]
Quantum, 2023 We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, remain ...
José Garre-Rubio +2 more
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A Multiplicative Version of Forgotten Topological Index [PDF]
Mathematics Interdisciplinary Research, 2019 In this paper, we present upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F ...
Asghar Yousefi +3 more
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Thermodynamic phase transition driven by topological excitations and their tensor network approach
Acta Physica Sinica, 2023 The fundamental concepts of phases and phase transitions constitute the cornerstone of our understanding of the physical universe. The historical development of the phase transition theory from Landau's spontaneous symmetry breaking paradigm to modern ...
Song Feng-Feng, Zhang Guang-Ming
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