Search results for "8c"

showing 10 items of 34 documents

Polynomial functors and polynomial monads

2009

We study polynomial functors over locally cartesian closed categories. After setting up the basic theory, we show how polynomial functors assemble into a double category, in fact a framed bicategory. We show that the free monad on a polynomial endofunctor is polynomial. The relationship with operads and other related notions is explored.

Pure mathematicsPolynomialFunctorGeneral MathematicsMathematics - Category Theory18C15 18D05 18D50 03G30517 - AnàlisiMonad (functional programming)BicategoryMathematics::Algebraic TopologyCartesian closed categoryMathematics::K-Theory and HomologyMathematics::Category TheoryPolynomial functor polynomial monad locally cartesian closed categories W-types operadsFOS: MathematicsPolinomisCategory Theory (math.CT)Mathematics
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Nowhere differentiable intrinsic Lipschitz graphs

2021

We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.

Pure mathematicsProperty (philosophy)General MathematicsMathematics::Analysis of PDEs01 natural sciencesdifferentiaaligeometriasymbols.namesakeMathematics - Metric Geometry0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric GeometryPoint (geometry)Differentiable function0101 mathematicsMathematics010102 general mathematicsryhmäteoriaMetric Geometry (math.MG)16. Peace & justiceLipschitz continuity53C17 58C20 22E25Mathematics - Classical Analysis and ODEsHomogeneoussymbols010307 mathematical physicsCarnot cycleCounterexample
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On Pseudofunctors Sending Groups to 2-Groups

2023

For a category B with finite products, we first characterize pseudofunctors from B to Cat whose corresponding opfibration is cartesian monoidal. Among those, we then characterize the ones which extend to pseudofunctors from internal groups to 2-groups. If B is additive, this is the case precisely when the corresponding opfibration has groupoidal fibres.

Settore MAT/02 - AlgebraGeneral MathematicsMathematics::Category TheoryFOS: Mathematicsinternal groupsMathematics - Category TheoryCategory Theory (math.CT)2-groupsPseudofunctorSettore MAT/04 - Matematiche Complementari2-groups; internal groups; monoidal opfibration; Pseudofunctor18A40 18C40 18D30 18G45 18M05monoidal opfibration
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Trombosi portale mesenterica idiopatica in paziente con doppia mutazione eterozigote del gene C677T e del gene A1298C della MTHFR

2002

Settore MED/09 - Medicina InternaTrombosi mesenterica idiopatica gene C677T gene A1298C MTHFR
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CCDC 262066: Experimental Crystal Structure Determination

2006

Related Article: G.Stajer, A.E.Szabo, G.Turos, P.Sohar, R.Sillanpaa|2005|Eur.J.Org.Chem.|2005|4154|doi:10.1002/ejoc.200500155

Space GroupCrystallography811-Methano-12344a7ac8c11c11ac13a-decahydroindolo[17a-a][31]benzoxazine-612-dioneCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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CCDC 1047644: Experimental Crystal Structure Determination

2017

Related Article: Michael Mirion, Lars Andernach, Caroline Stobe, Joaquin Barjau, Dieter Schollmeyer, Till Opatz, Arne Lützen, Siegfried R. Waldvogel|2015|Eur.J.Org.Chem.|2015|4876|doi:10.1002/ejoc.201500600

Space GroupCrystallographyCrystal SystemCrystal Structure(5aSR7RS8aRS8cRS13bSR)-Ethyl-247101213b15-heptamethyl-568-trioxa-(benzo[h]-(benzo[b]furo)[23-b]-[4.3.3]propellan)-14-eneCell ParametersExperimental 3D Coordinates
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CCDC 1047645: Experimental Crystal Structure Determination

2017

Related Article: Michael Mirion, Lars Andernach, Caroline Stobe, Joaquin Barjau, Dieter Schollmeyer, Till Opatz, Arne Lützen, Siegfried R. Waldvogel|2015|Eur.J.Org.Chem.|2015|4876|doi:10.1002/ejoc.201500600

Space GroupCrystallographyCrystal SystemCrystal Structure(5aSR8aRS8cRS13bSR)-24101213b15-Hexamethyl-568-trioxa-spiro[cyclohexakis(benzo[h](benzo[b]furo)[23-b]-[4.3.3]propellan)]-14-eneCell ParametersExperimental 3D Coordinates
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CCDC 1047647: Experimental Crystal Structure Determination

2017

Related Article: Michael Mirion, Lars Andernach, Caroline Stobe, Joaquin Barjau, Dieter Schollmeyer, Till Opatz, Arne Lützen, Siegfried R. Waldvogel|2015|Eur.J.Org.Chem.|2015|4876|doi:10.1002/ejoc.201500600

Space GroupCrystallographyCrystal SystemCrystal StructureCell Parameters(5aSR8aRS8cRS13bSR)-8-Aza-56-dioxa-24101213b15-hexamethyl-N-phenyl-(benzo[h]-(benzo[b]furo)[23-b]-[4.3.3]propellan)-14-ene-7-oneExperimental 3D Coordinates
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CCDC 1047646: Experimental Crystal Structure Determination

2017

Related Article: Michael Mirion, Lars Andernach, Caroline Stobe, Joaquin Barjau, Dieter Schollmeyer, Till Opatz, Arne Lützen, Siegfried R. Waldvogel|2015|Eur.J.Org.Chem.|2015|4876|doi:10.1002/ejoc.201500600

Space GroupCrystallographyCrystal SystemCrystal StructureCell Parametersrac-(5aRS7RS8aSR8cSR13bRS)-7-Ethyl-24101213b15-hexamethyl-568-trioxa-(benzo[h]-(benzo[b]furo)[23-b]-[4.3.3]propellan)-14-eneExperimental 3D Coordinates
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On Pietsch measures for summing operators and dominated polynomials

2012

We relate the injectivity of the canonical map from $C(B_{E'})$ to $L_p(\mu)$, where $\mu$ is a regular Borel probability measure on the closed unit ball $B_{E'}$ of the dual $E'$ of a Banach space $E$ endowed with the weak* topology, to the existence of injective $p$-summing linear operators/$p$-dominated homogeneous polynomials defined on $E$ having $\mu$ as a Pietsch measure. As an application we fill the gap in the proofs of some results of concerning Pietsch-type factorization of dominated polynomials.

Unit sphereDiscrete mathematics28C15 46G25 47B10 47L22Mathematics::Functional AnalysisPure mathematicsAlgebra and Number TheoryDiscrete orthogonal polynomialsBanach spaceMeasure (mathematics)Functional Analysis (math.FA)Mathematics - Functional AnalysisClassical orthogonal polynomialsFactorizationOrthogonal polynomialsFOS: MathematicsCanonical mapMathematicsLinear and Multilinear Algebra
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