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Distinguishing local isomorphism classes in quasicrystals by high-order harmonic spectroscopy [PDF]
Electron diffraction spectroscopy is a fundamental tool for investigating quasicrystal structures, which unveils the quasiperiodic long-range order. Nevertheless, it falls short in effectively distinguishing separate local isomorphism classes.
Jia-Qi Liu, Xue-Bin Bian
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The isomorphism class of C0 is not Borel [PDF]
We show that the class of all Banach spaces which are isomorphic to $ c_{0} $ is a complete analytic set with respect to the Effros Borel structure of separable Banach spaces. The proof employs a recent Bourgain-Delbaen construction by Argyros, Gasparis and Motakis.
Ondřej Kurka
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Isomorphism of graph classes related to the circular-ones property [PDF]
Discrete ...
Andrew R. Curtis +6 more
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Computation of isomorphism classes of 𝑝-groups [PDF]
p p -groups may be classified by splitting the groups up into classes having the same commutator relations (isoclinism classes) and then determining the nonisomorphic groups in each class. This paper reduces the problem of determining the isomorphism classes to that of finding the equivalence classes of a set of matrices under some ...
Rodney James, John Cannon
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CLASSES OF STRUCTURES WITH NO INTERMEDIATE ISOMORPHISM PROBLEMS [PDF]
AbstractWe say that a theory T is intermediate under effective reducibility if the isomorphism problems among its computable models is neither hyperarithmetic nor on top under effective reducibility. We prove that if an infinitary sentence T is uniformly effectively dense, a property we define in the paper, then no extension of it is intermediate, at ...
Antonio Montalbán
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On number of isomorphism classes of derived subgroups [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leyli Jafari Taghvasani, Soran Marzang
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Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven [PDF]
Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has been developed for distinct types of algebras.
Falcón, O. J. +2 more
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Subgraph isomorphism in graph classes
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Shuji Kijima +2 more
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Let T(X) be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of T(X) with connection sets L and R, the Green's equivalence classes of T(X) according to the Green's relations L and R, are investigated. Furthermore,
Nuttawoot Nupo, Yanisa Chaiya
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The isomorphism classes of the generalized Petersen graphs
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William Staton
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