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Butterflies in a Semi-Abelian Context

2011

It is known that monoidal functors between internal groupoids in the category Grp of groups constitute the bicategory of fractions of the 2-category Grpd(Grp) of internal groupoids, internal functors and internal natural transformations in Grp, with respect to weak equivalences (that is, internal functors which are internally fully faithful and essentially surjective on objects). Monoidal functors can be equivalently described by a kind of weak morphisms introduced by B. Noohi under the name of butterflies. In order to internalize monoidal functors in a wide context, we introduce the notion of internal butterflies between internal crossed modules in a semi-abelian category C, and we show th…

Discrete mathematicsPure mathematicsButterflyFunctorInternal groupoidWeak equivalenceGeneral MathematicsSemi-abelian categoryFunctor categoryContext (language use)Mathematics - Category TheoryBicategory of fractionBicategoryMathematics::Algebraic TopologyWeak equivalence18D05 18B40 18E10 18A40Surjective functionMorphismMathematics::Category TheoryFOS: MathematicsCategory Theory (math.CT)Abelian groupMathematics
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Oratio ad Comitem de Tendilla, regis et reginae Hispanorum oratorem / [Jerónimo Gaona

1480

Sense sign. - Data aprox., al voltant de 1480 L. rom. - 26 lín. - Capll. grav. - Sense fol. - Filigr.: balança

Discursos Obres anteriors a 1800DIG-BH
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Oratio in ingenuarum disciplinarum laudes / à Bartholomaeo Sanctio Collega Trilingui, apud amplissimum patrum Senatum in florentissima Salmanticensi…

1596

Sig. A-E4 Fris i grav. xil. a la port. Text amb postil·les marginals. - Reclams

Discursos Obres anteriors a 1800DIG-BH
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Oratio ad Lucenses / [Nicolaus Montanus

1481

Sense sign. - Data insegura, déu ésser entre 1481 i 1487 L. gòt. - 33 lín. - Esp. p. inic. - Sense fol. - Filigr.: ànec, balança

Discursos Obres anteriors a 1800DIG-BH
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Oratio in obsequio Ferdinandi et Elisabeth, Hispaniarum regis et reginae, Ad Innocentium VIII anno 1486 habita / [Antonius Geraldinus

1488

Sign.: a6. - Data insegura, déu ésser entre 1488 i 1491 L. gòt. - 33 lín. - Capll. grav. - Errates en la sign. - Filigr.: cor

Discursos Obres anteriors a 1800DIG-BH
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Oratio de oboedientia Friderici III coram Calixto III anno 1455 habita / [Pius II

1480

Sense sign. - Data insegura, al voltant de 1480 L. gòt. - 33 lín. - Capll. grav. - Sense fol. - Filigr.: flor, monstre

Discursos Obres anteriors a 1800DIG-BHFrederic III Emperador d'Alemanya
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Oratio in obsequio Ferdinandi et Elisabeth, Hispaniarum regis et reginae, Ad Innocentium VIII anno 1486 habita

Sign.: a6. - Data insegura, déu ésser entre 1488 i 1491 L. gòt. - 33 lín. - Capll. grav. - Errates en la sign. - Filigr.: cor

Discursos Obres anteriors al 1800
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Oratio ad Lucenses

Sense sign. - Data insegura, déu ésser entre 1481 i 1487 L. gòt. - 33 lín. - Esp. p. inic. - Sense fol. - Filigr.: ànec, balança

Discursos Obres anteriors al 1800
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Oratio ad Comitem de Tendilla, regis et reginae Hispanorum oratorem

Sense sign. - Data aprox., al voltant de 1480 L. rom. - 26 lín. - Capll. grav. - Sense fol. - Filigr.: balança

Discursos Obres anteriors al 1800
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Opera (De coniuratione Catilinae. Bellum Iugurthinum) / [Gai Sal·lusti Crisp]. Invectiva in M.T. Ciceronem / [Pseudo-Sal·lusti]. Responsio contra inv…

1490

Sig. a-d6, e4 Ll. rom. - 54-55 lín. - Esp. p. inic. - Registre. - Filigr.: balança en cercle i estel

Discursos Obres anteriors al 1800Discursos Obres anteriors a 1800DIG-BH
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