Results 11 to 20 of about 15,974 (205)
Buildings, valuated matroids, and tropical linear spaces [PDF]
Journal of the London Mathematical Society, 2023 Affine Bruhat–Tits buildings are geometric spaces extracting the combinatorics of algebraic groups. The building of PGL$\mathrm{PGL}$ parameterizes flags of subspaces/lattices in or, equivalently, norms on a fixed finite‐dimensional vector space, up to ...
L. Battistella +4 more
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Exact Categories of Topological Vector Spaces with Linear Topology [PDF]
Moscow Mathematical Journal, 2020 We explain why the naive definition of a natural exact category structure on complete, separated topological vector spaces with linear topology fails. In particular, contrary to arXiv:0711.2527, the category of such topological vector spaces is not quasi-
L. Positselski
semanticscholar +1 more source
Codiskcyclic sets of operators on complex topological vector spaces [PDF]
Proyecciones (Antofagasta), 2021 Let X be a complex topological vector space and L(X) the set of all continuous linear operators on X. In this paper, we extend the notion of the codiskcyclicity of a single operator T ∈ L(X) to a set of operators Γ ⊂ L(X).
M. Amouch, O. Benchiheb
semanticscholar +1 more source
Nonlinear order isomorphisms on function spaces [PDF]
, 2014 Let $X$ be a topological space. A subset of $C(X)$, the space of continuous real-valued functions on $X$, is a partially ordered set in the pointwise order. Suppose that $X$ and $Y$ are topological spaces, and $A(X)$ and $A(Y)$ are subsets of $C(X)$ and $
D. Leung, W. Tang
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Topological concepts in partially ordered vector spaces [PDF]
Positivity (Dordrecht), 2019 In the context of partially ordered vector spaces one encounters different sorts of order convergence and order topologies. This article investigates these notions and their relations.
T. Hauser
semanticscholar +1 more source
Vector Optimization w.r.t. Relatively Solid Convex Cones in Real Linear Spaces
Journal of Optimization Theory and Applications, 2021 In vector optimization, it is of increasing interest to study problems where the image space (a real linear space) is preordered by a not necessarily solid (and not necessarily pointed) convex cone. It is well-known that there are many examples where the
C. Günther, Bahareh Khazayel, C. Tammer
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Compactness Principles for Topological Vector Spaces
Topological Algebra and its Applications, 2022 We show that the many of the canonical quantifications of interrelated concepts, centered around compactness in the setting of metric spaces, can be easily generalized to the setting of topological linear spaces.
M. Robdera
semanticscholar +1 more source
Core compactness of ordered topological spaces
AIMS Mathematics, 2022 In this paper, we investigate the property of core compactness of ordered topological spaces. Particularly, we give a series of characterizations of the core compactness for directed spaces. Several results obtained in this paper are closely related to a
Yuxu Chen, H. Kou
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Fractional Skyrmion Tubes in Chiral‐Interfaced 3D Magnetic Nanowires
Advanced Functional Materials, EarlyView.In chiral 3D helical magnetic nanowires, the coupling between the geometric and magnetic chirality provides a way to create topological spin states like vortex tubes. Here, it is demonstrated how the breaking of this coupling in interfaced 3D nanowires of opposite chirality leads to even more complex topological spin states, such as fractional ...
John Fullerton +11 more
wiley +1 more source
Advanced Functional Materials, EarlyView.From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang +8 more
wiley +1 more source