pseudomonad

Definitions

  • WordNet 3.6
    • n pseudomonad bacteria usually producing greenish fluorescent water-soluble pigment; some pathogenic for plants and animals
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Usage


In science:

We survey the development of the formal theory of pseudomonads, the analogue for pseudo-monads of the formal theory of monads.
On the coherence conditions for pseudo-distributive laws
H, h) : (X, S ) → (X, S ), for a pseudomonad (X, S ), is referred to as a pseudo-distributive law of S over H .
On the coherence conditions for pseudo-distributive laws
Theorem 4.5 below can be read as saying that the coherence axioms for pseudomonad morphisms, pseudo-monad transformations, and pseudo-monad modifications are not only sufficient, but also necessary in order to obtain liftings.
On the coherence conditions for pseudo-distributive laws
For every Gray-category K, there exist a tricategory ˜K having pseudo-monads in K as 0-cel ls, pseudo-monad morphisms as 1-cel ls, pseudomonad transformations as 2-cel ls, and pseudo-monad modifications as 3-cel ls, and a triequivalence F : ˜K → PsmK .
On the coherence conditions for pseudo-distributive laws
This is the approach taken by Lack in [L] in the context of Gray-categories in order to discuss the relationship between biadjunctions and pseudomonads.
Biequivalences in tricategories
Stephen Lack, A coherent approach to pseudomonads, Adv.
Biequivalences in tricategories
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