Search results for "Category"

showing 10 items of 4660 documents

Construction of Fibred Categories

2019

In Section 5, we introduce methods from classical homological algebra (i.e. using mostly the language of derived categories of abelian categories and their Verdier quotients) to construct the main examples of premotivic categories of interest in this book, while, in Section 6, we study how to check that the localization axiom holds in practice. Section 7 is devoted to the process of obtaining new fibred categories from old ones, by considering homotopy theoretic modules over a ring object.

AlgebraRing (mathematics)Section (category theory)Mathematics::Category TheoryHomotopyObject (grammar)Homological algebraFibered knotAbelian groupAxiomMathematics
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Fibred Categories and the Six Functors Formalism

2019

In Section 1, we introduce the basic language used in this book, the so-called premotivic categories and their functoriality. This is an extension of the classical notion of fibered categories. They appear with different categorical structures. In Section2, the language of premotivic categories is specialized to that of triangulated categories and to algebraic geometry. We introduce several axioms of such categories which ultimately will lead to the full six functors formalism. An emphasis is given on the study of the main axioms, with a special care about the so-called localization axiom. Then in Section 3, the general theory of descent is formulated in the language of premotivic model cat…

AlgebraSix operationsFunctorMathematics::Category TheoryFibered knotAlgebraic geometrySpecial careProjective testCategorical variableAxiomMathematics
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A note on conjugation involutions on homotopy complex projective spaces

1986

Algebran-connectedPure mathematicsHomotopy categoryGeneral MathematicsComplex projective spaceWhitehead theoremProjective spaceCofibrationQuaternionic projective spaceRegular homotopyMathematicsJapanese journal of mathematics. New series
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Lawvere–Tierney sheaves in Algebraic Set Theory

2009

We present a solution to the problem of defining a counterpart in Algebraic Set Theory of the construction of internal sheaves in Topos Theory. Our approach is general in that we consider sheaves as determined by Lawvere-Tierney coverages, rather than by Grothendieck coverages, and assume only a weakening of the axioms for small maps originally introduced by Joyal and Moerdijk, thus subsuming the existing topos-theoretic results.

Algebraic setPure mathematicsLogicMathematics - Category TheoryMathematics - LogicTopos theoryPhilosophyMathematics::LogicMathematics::Algebraic GeometryMathematics::Category TheoryFOS: MathematicsCategory Theory (math.CT)Algebraic Set Theory sheavesLogic (math.LO)03C90 03G30 03F50AxiomMathematics
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Oxygen profile of microencapsulated islets: effect of immobilised hemoglobin in the alginate matrix

2001

AlginatesAlginate matrixCell Culture TechniquesIslets of Langerhans Transplantationchemistry.chemical_elementCapsulesOxygenHemoglobinsIslets of LangerhansOxygen ConsumptionInsulin SecretionAnimalsInsulinTransplantationgeographygeography.geographical_feature_categoryChromatographyFishesMetabolismIsletCell MicroenvironmentGlucosechemistryBiochemistrySurgeryHemoglobinPolarographyTransplantation Proceedings
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Sequential formula translation

1983

The syntax of an algorithmic language such as ALGOL is conveniently described as a sequence of states indicated by an element called cellar. Transitions are controlled by admissible state- s ymbol pairs which may be represented by a transition matrix. This description of syntax furnishes at the same time an extremely simple rule for translating into machine programs statements in the algorithmic language. Sequential treatment, however, is not feasible in the case of certain optimizing processes such as recursive address calculation.

Algorithmic languageSequenceRecursionGeneral Computer ScienceSyntax (programming languages)Computer scienceSimple (abstract algebra)Programming languageElement (category theory)Translation (geometry)computer.software_genreSyntaxcomputerCommunications of the ACM
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The hydrothermal system of the Domuyo volcanic complex (Argentina): A conceptual model based on new geochemical and isotopic evidences

2016

The Domuyo volcanic complex (Neuquén Province, Argentina) hosts one of the most promising geothermal systems of Patagonia, giving rise to thermal manifestations discharging hot and Cl−-rich fluids. This study reports a complete geochemical dataset of gas and water samples collected in three years (2013, 2014 and 2015) from the main fluid discharges of this area. The chemical and isotopic composition (δD-H2O and δ18O-H2O) of waters indicates that rainwater and snow melting are the primary recharge of a hydrothermal reservoir located at relative shallow depth (400–600 m) possibly connected to a second deeper (2–3 km) reservoir. Reactive magmatic gases are completely scrubbed by the hydrotherm…

Alternative Energy Source010504 meteorology & atmospheric sciencesHydrothermal FluidGeochemistryAquifer010502 geochemistry & geophysics01 natural sciencesHydrothermal circulationRainwater harvestingDomuyo Volcanic ComplexCiencias de la Tierra y relacionadas con el Medio AmbienteGeothermometryGeochemistry and PetrologyGeomorphologyGeothermal gradientCiencias Exactas y NaturalesGeothermal System0105 earth and related environmental sciencesgeographygeography.geographical_feature_categoryGroundwater rechargeDilutionGeophysicsVolcanoMagmaMeteorología y Ciencias AtmosféricasGeologyCIENCIAS NATURALES Y EXACTAS
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Geochemical processes assessed by Rare Earth Elements fractionation at "Laguna Verde" acidic-sulphate crater lake (Azufral volcano, Colombia)

2017

Abstract The geochemical behaviour of major elements, Fe, Al, Mn, and Rare Earth Elements (REE) was investigated in the “Laguna Verde” acidic crater lake of Azufral volcano (Colombia). The cold lake water (T close to 10 °C) is sulphate-dominated, due to absorption and oxidation of H2S (pH 2.1–2.7, Eh 196–260 mV), and Na-enriched (Total Dissolved Solids 0.79 g L−1). The total amount of REE dissolved in the lake ranges from 3.3 to 9.1 ppb. The REE patterns normalized to the local rocks show a Light Rare Earth Elements (LREE) depletion quite constant in the 15 samples. Similar patterns were already found in the acidic sulphate springs of Nevado del Ruiz volcano-hydrothermal system, caused by t…

Alunite precipitation010504 meteorology & atmospheric sciencesGeochemistryMineralogyengineering.material010502 geochemistry & geophysics01 natural sciencesHydrothermal circulationRare Earth ElementVolcano-hydrothermal systemImpact craterGeochemistry and PetrologyCrater lakeJarositeEnvironmental ChemistryPrecipitation0105 earth and related environmental sciencesgeographygeography.geographical_feature_categoryAcidic crater lakeAlunitePollutionVolcanoLight Rare Earth Elements depletionengineeringSeawaterGeology
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Sedative Effect and Standardization Parameters of Herbal Medicinal Product Obtained from the Ocimum americanum L. Herb

2021

Abstract Sedative phytomedications continue to play an important role in the management of a considerable amount of anxiety symptoms because of the various side effects of synthetic sedatives and tranquilizers. However, developing new herbal drugs needs their appropriate quality control according to the relevant requirements. The aim of the study was to determine the sedative properties of the tinctures obtained from the American basil (Ocimum americanum L., Lamiaceae Martinov family) herb and to develop the standardization parameters for the promising herbal medicinal product. The open field test was used to evaluate the sedative effect of the prepared tinctures: (1) with the added of O. a…

American basil – herb – tincture – sedative activity – polyphenols – linalool – chromatographic analysistincturefood.ingredientSedative effectStandardizationTraditional medicinelinalool010405 organic chemistryfood and beveragesRM1-950Biology01 natural sciences0104 chemical sciencessedative activity010404 medicinal & biomolecular chemistrychromatographic analysisfoodherbHerbamerican basilTherapeutics. PharmacologyProduct (category theory)General Pharmacology Toxicology and PharmaceuticspolyphenolsEuropean Pharmaceutical Journal
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Settlement down again patterns of a carbonated platform following up a sedimentary crisis : example of the middle-late Jurassic boundary in the south…

2004

Abstract Following a sedimentary crisis which begins in the late Lower Callovian and spans all the early Oxfordian, the settlement down patterns of a platform with carbonated sedimentation are analysed in a southeastern area of the Paris Basin (fig. 1). Ten lithostratigraphic units (reefal formations, associated bioclastic facies and marly distal lateral facies ; fig. 2) are defined (fig. 3). New ammonite and brachiopod faunas, collected in situ, allow to date accurately the sedimentary units with a precision matching an ammonite subzone of the standard bio-chronostratigraphic scale (fig. 4) of the middle-late Oxfordian (from the Parandieri Subzone, at the base of the Transversarium Zone, t…

Ammonitegeographygeography.geographical_feature_categoryGeologyStructural basinlanguage.human_languageSedimentary depositional environmentPaleontologyAggradationFacieslanguageSedimentary rockProgradationReefGeologyBulletin de la Société Géologique de France
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