Search Results - "Vitale, E. M."

On Fibrations Between Internal Groupoids and Their Normalizations by Jacqmin, P.-A., Mantovani, S., Metere, G., Vitale, E. M.

“…We characterize fibrations and ∗ -fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the…”
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Regular and exact completions by Carboni, A., Vitale, E.M.

“…The regular and exact completions of categories with weak limits are proved to exist and to be determined by an appropriate universal property. Several…”
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Fibred-categorical obstruction theory by Cigoli, A.S., Mantovani, S., Metere, G., Vitale, E.M.

“…We set up a fibred categorical theory of obstruction and classification of morphisms that specialises to the one of monoidal functors between categorical…”
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Proper factorization systems in 2-categories by Dupont, M., Vitale, E.M.

“…Starting from known examples of factorization systems in 2-categories, we discuss possible definitions of proper factorization system in a 2-category. We focus…”
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Chain complexes of symmetric categorical groups by del Río, A., Martínez-Moreno, J., Vitale, E.M.

“…We define the cohomology categorical groups of a complex of symmetric categorical groups, and we construct a long 2-exact sequence from an extension of…”
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Beck's theorem for pseudo-monads by Le Creurer, I.J., Marmolejo, F., Vitale, E.M.

“…In this work we establish a 2-categorical analogue of Beck's theorem characterizing monadic functors. We show that a 2-functor (a pseudo-functor) U is monadic…”
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When do completion processes give rise to extensive categories? by Lack, Stephen, Vitale, E.M.

“…We consider various (free) completion processes: the exact completion and the regular completion of a category with weak finite limits, the pre-regular…”
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On Algebraically Exact Categories and Essential Localizations of Varieties by Adámek, J, Rosický, J, Vitale, E.M

“…Algebraically exact categories have been introduced in J. Adámek, F. W. Lawvere, and J. Rosický (to appear), as an equational hull of the 2-category VAR of all…”
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Butterflies in a semi-abelian context by Abbad, O., Mantovani, S., Metere, G., Vitale, E.M.

“…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)…”
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On the abstract characterization of quasi-varieties by Pedicchio, M.C., Vitale, E.M.

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Regularity of the category of Kelley spaces by Cagliari, F., Mantovani, S., Vitale, E. M.

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External derivations of internal groupoids by Kasangian, S., Mantovani, S., Metere, G., Vitale, E.M.

“…If H is a G -crossed module, the set of derivations of G in H is a monoid under the Whitehead product of derivations. We interpret the Whitehead product using…”
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The snail lemma for internal groupoids by Mantovani, S, Metere, G, Vitale, E. M

“…We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact…”
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On fibrations between internal groupoids by Jacqmin, P. -A, Mantovani, S, Metere, G, Vitale, E. M

“…In order to deduce the internal version of the Brown exact sequence from the internal version of the Gabriel-Zisman exact sequence, we characterize fibrations…”
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Bipullbacks of fractions and the snail lemma by Jacqmin, P. -A, Mantovani, S, Metere, G, Vitale, E. M

“…We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a $\pi_0$-$\pi_1$ exact sequence…”
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A Picard–Brauer exact sequence of categorical groups by Vitale, Enrico M.

“…A categorical group is a monoidal groupoid in which each object has a tensorial inverse. Two main examples are the Picard categorical group of a monoidal…”
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Localizations of algebraic categories II by Vitale, Enrico M.

“…Using the exact completion of a weakly left exact category, we specialize previous results on monadic categories over øSøEøI to obtain a characterization of…”
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Localizations of algebraic categories by Vitale, Enrico M.

“…We characterize localizations of monadic categories over S E T using the fact that the category of algebras for a monad over S E T is the exact completion of…”
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