Search Results - "Vitale, E.M"

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

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