### Some articles on *monoidal, categories, monoidal categories*:

...

**Monoidal**t-norm based logic (or shortly MTL), the logic of left-continuous t-norms, is one of t-norm fuzzy logics ... the logic of commutative bounded integral residuated lattices (known as Höhle's

**monoidal**logic, Ono's FLew, or intuitionistic logic without contraction) by the axiom of prelinearity ...

... string diagrams are a way of representing 2-cells in 2-

**categories**... For example, consider an adjunction between two

**categories**C and D where is left adjoint of and the natural transformations and are respectively the unit and the counit ... The string diagram corresponding to the counit is the following

**Monoidal categories**can also be pictured this way since they can be seen as 2-

**categories**with ...

... Suppose that and are two

**monoidal categories**... A

**monoidal**adjunction between two lax

**monoidal**functors and is an adjunction between the underlying functors, such that the natural transformations and are ...

... Suppose that a functor is left adjoint to a

**monoidal**... structure on is strong, then the unit and counit of the adjunction are

**monoidal**natural transformations, and the adjunction is said to be a

**monoidal**adjunction conversely ... Similarly, a right adjoint to a comonoidal functor is

**monoidal**, and the right adjoint of a comonoidal adjunction is a strong

**monoidal**functor ...

... transform 1982 Bob Walters Enriched

**categories**with bicategories as a base 1983 Alexander Grothendieck Pursuing stacks Manuscript circulated from Bangor, written in English in response to a correspondence in English. 1983 Alexander Grothendieck First appearance of strict ∞-

**categories**in pursuing stacks, following a 1981 published definition by Ronald Brown and Philip J ... Grothendieck Grothendieck derivators A model for homotopy theory similar to Quilen model

**categories**but more satisfactory ...

### Famous quotes containing the words categories and/or braided:

“Kitsch ... is one of the major *categories* of the modern object. Knick-knacks, rustic odds-and-ends, souvenirs, lampshades, and African masks: the kitsch-object is collectively this whole plethora of “trashy,” sham or faked objects, this whole museum of junk which proliferates everywhere.... Kitsch is the equivalent to the “cliché” in discourse.”

—Jean Baudrillard (b. 1929)

“The wide wonder of Broadway is disconsolate in the daytime; but gaudily glorious at night, with a milling crowd filling sidewalk and roadway, silent, going up, going down, between upstanding banks of brilliant lights, each building *braided* and embossed with glowing, many-coloured bulbs of man-rayed luminance. A glowing valley of the shadow of life. The strolling crowd went slowly by through the kinematically divine thoroughfare of New York.”

—Sean O’Casey (1884–1964)