Results 41 to 50 of about 116,139 (242)
Algebraic List-decoding of Subspace Codes [PDF]
Subspace codes were introduced in order to correct errors and erasures for randomized network coding, in the case where network topology is unknown (the noncoherent case).
Mahdavifar, Hessam, Vardy, Alexander
core
Prime subspaces in free topological groups
Let \(F(X)\) \((A(X))\) be the free (Abelian) topological group over \(X\). The authors prove: If \(P\) is one of the spaces \(\mathbb{R}\), \(\mathbb{Q}\), \(\mathbb{R} \setminus \mathbb{Q}\), \(\beta \omega\), \(\beta \omega \setminus \omega\) and \(2^ \kappa\) for an infinite \(\kappa\) and if \(F(X)\) or \(A(X)\) contains a copy of \(P\), then \(X\)
Eda, Katsuya +2 more
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This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
On A Subspace Of Dual Zariski Topology On A Subspace Of Dual Zariski Topology
Let R be a commutative ring with identity and S pee (M) (resp. Min(M)) denote the set of all second (resp minimal) submodules of a non-zero R-module M. In this paper, we investigate several properties of the subspace topology on Min(M) induced by the dual Zariski on S pee(M) and determine some cases in which Min(M) is a max-spectral space.
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The basis problem for subspaces of monotonically normal compacta
We prove, assuming Souslin's Hypothesis, that each uncountable subspace of each zero-dimensional monotonically normal compact space contains an uncountable subset of the real line with either the metric, the Sorgenfrey, or the discrete topology.Comment ...
Ahmad Farhat +23 more
core +1 more source
Materials informatics and autonomous experimentation are transforming the discovery of organic molecular crystals. This review presents an integrated molecule–crystal–function–optimization workflow combining machine learning, crystal structure prediction, and Bayesian optimization with robotic platforms.
Takuya Taniguchi +2 more
wiley +1 more source
Note on pointwise contractive projections
Let C(X) be the space of real-valued continuous functions on a Hausdorff completely regular topological space X. endowed with the compact-open topology. In this paper necessary and sufficient conditions are given for a subspace of C(X) to be the range of
L. M. Sanchez Ruiz +1 more
doaj +1 more source
A Novel Approach: Neutro-Spot Topology and Its Supra Topology with Separation Axioms and Computing the Impact on COVID-19 [PDF]
Neutrosophic soft set is a parametric set of uncertainty, whereas the neutrosophic soft point is an exceptional type of it which used highly to explore the separation axioms.
Chinnadurai Verappan, Sindhu M. P.
doaj +1 more source
Ordinal subspaces of topological spaces
Let X denote a compact dispersed space with characteristic (λ, n). As is well-known, the space Γ(α) consisting of the ordinals not exceeding α with the interval topology has characteristic (λ, n) if and only if ωλ · n ⩽ α < ωλ · (n + 1). It seems natural to regard the ordinal spaces as “minimal” dispersed spaces and to conjecture that X contains a ...
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Intuitionistic regular subspaces in intuitionistic topological spaces
This paper explores the concept of intuitionistic topological spaces, delving into their definitions and essential properties. It also examines intuitionistic topological subspaces, providing insights into their characteristics. Additionally, the paper investigates intuitionistic regular spaces and demonstrates their hereditary nature, specifically ...
Md. dalim Haque +2 more
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