Results 101 to 110 of about 538,556 (355)
Compactly convex sets in linear topological spaces [PDF]
Математичні Студії, 2012 A convex subset $X$ of a~linear topological space is called{em compactly convex} if there is a~continuous compact-valuedmap $Phicolon Xoexp(X)$ such that$[x,y]subsetPhi(x)cupPhi(y)$ for all $x,yin X$.
T. Banakh, M. Mitrofanov, O. Ravsky
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On cofree S-spaces and cofree S-flows
Applied General Topology, 2012 Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
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Metrizability of Locally Compact Vector Spaces [PDF]
Proceedings of the American Mathematical Society, 1971 By use of the theory of characters and the Pontryagin-van Kampen theorem, it is shown that if E E is a locally compact vector space over a discrete division ring K K of characteristic zero and if dim K E > 2
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Advanced Functional Materials, EarlyView.In situ TEM uncovers the atomic‐scale mechanisms underlying hydrogen‐driven γ‐Fe2O3→Fe3O4→FeO reduction. In γ‐Fe2O3, oxygen vacancies cluster around intrinsic Fe vacancies, leading to nanopore formation, whereas in Fe3O4, vacancy aggregation is suppressed, preserving a dense structure.
Yupeng Wu +14 more
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Математичні СтудіїLet $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
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Computably Based Locally Compact Spaces [PDF]
Logical Methods in Computer Science, 2006 ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus.
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Advanced Functional Materials, EarlyView.Dual‐cation site engineering unlocks stable and fast sodium storage in Na4VMn(PO4)3 cathodes. Li+ at Na2 suppresses Jahn‐Teller distortion, while K+ at Na1 expands ion channels, enabling synchronized V/Mn redox and quasi‐single‐phase kinetics. This atomic‐level strategy achieves ultralong cycling stability, high‐rate capability, and full cell viability
Jiaze Sun +8 more
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Chebychev Approximation in Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1958 Moreover, this p is unique, and is characterized by this property. In this paper we shall give a generalization of this result (except for uniqueness, which does not hold) on a locally compact space X. Let B = CiX) be the Banach space of all continuous real functions on X, vanishing at infinity, with ||/||=max {|/(x)| : xQX}.
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Advanced Functional Materials, EarlyView.Inspired by the skin‐toughening mechanism of marine sponges, an ion‐orchestrated structural engineering strategy is proposed to regulate the surface microstructure of hydrogel coatings, enabling the in situ formation of a robust armor layer that enhances mechanical integrity and provides multifunctional protection by suppressing fouling attachment and ...
Wenshuai Yang +11 more
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Compact sheaves on a locally compact space
Proceedings of the American Mathematical SocietyLet X X be a hypercomplete locally compact Hausdorff space and let C \mathcal C be a compactly generated stable ∞ \infty -category. We describe the compact objects in the ∞ \infty -category of C \mathcal C -valued sheaves S
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