Results 41 to 50 of about 116,139 (242)

Algebraic List-decoding of Subspace Codes [PDF]

open access: yes, 2012
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

open access: yesTopology and its Applications, 1995
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
openaire   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
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

open access: yesAIP Conference Proceedings, 2017
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.
openaire   +2 more sources

The basis problem for subspaces of monotonically normal compacta

open access: yes, 2016
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

Accelerating Discovery of Organic Molecular Crystals via Materials Informatics and Autonomous Experiments

open access: yesAdvanced Intelligent Discovery, EarlyView.
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
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]

open access: yesNeutrosophic Sets and Systems, 2020
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

open access: yesGeneral Topology and its Applications, 1973
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 ...
openaire   +1 more source

Intuitionistic regular subspaces in intuitionistic topological spaces

open access: yesDesimal: Jurnal Matematika, 2023
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
openaire   +1 more source

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