✦ LIBER ✦

Beck's theorem for pseudo-monads

✍ Scribed by I.J. Le Creurer; F. Marmolejo; E.M. Vitale

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 332 KB
Volume: 173
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00038-5

No coin nor oath required. For personal study only.

✦ Synopsis

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 i it is a right pseudoadjoint, it re ects adjoint equivalences and it creates U -absolute pseudo-coequalizers of codescent objects.

📜 SIMILAR VOLUMES

Pseudo-commutative Monads

✍ Martin Hyland; John Power 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Pseudo-commutative monads and pseudo-clo

Pseudo-commutative monads and pseudo-closed 2-categories

✍ Martin Hyland; John Power 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 304 KB

Pseudo-commutative 2-monads and pseudo-closed 2-categories are deÿned. The former give rise to the latter: if T is pseudo-commutative, then the 2-category T -Alg, of strict T -algebras and pseudo-maps of algebras, is pseudo-closed. In particular, the 2-category of symmetric monoidal categories, is p

Transfer theorems for π-monads

✍ Nigel J. Cutland 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 959 KB

The Wedderburn-Artin theorem for pseudo-

The Wedderburn-Artin theorem for pseudo-rings

✍ Edward M. Patterson 📂 Article 📅 1967 🏛 Springer-Verlag 🌐 French ⚖ 626 KB

The continuous Beck-Fiala theorem is opt

The continuous Beck-Fiala theorem is optimal

✍ Charles A. Akemann; Joel Anderson 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 332 KB

Let X denote a finite set, k and n denote natural numbers and S~ ..... Sn denote subsets of X. Assume that no point of X lies in more than k of these subsets. In 1981 Beck and Fiala proved that there is a 2-coloring of X such that each of the subsets has discrepancy less than 2k. This result has an

A note on the Beck-Fiala Theorem

✍ Debe Bednarchak; Martin Helm 📂 Article 📅 1997 🏛 Springer-Verlag 🌐 English ⚖ 118 KB