category theory, a branch of mathematics, Mac Lane's coherence theorem states, in the words of Saunders Mac Lane, “every diagram commutes”. This result was...

of Mac Lane's coherence theorem. Each of them has the rough form that "every weak structure of some sort is equivalent to a stricter one". Coherence condition...

Saunders Mac Lane (August 4, 1909 – April 14, 2005), born Leslie Saunders MacLane, was an American mathematician who co-founded category theory with Samuel...

to a strict monoidal category. This is (essentially) the Mac Lane coherence theorem. Coherence condition Schauenburg 2001 Schauenburg, Peter (2001). "Turning...

{\displaystyle \rho } , identities and tensor product) commute: this is Mac Lane's "coherence theorem". It is sometimes inaccurately stated that all such diagrams...

Kapranov who noted that this structure appears implicitly in Mac Lane's coherence theorem for symmetric and braided categories as well as in Vladimir Drinfeld's...

autonomous categories, categories with duality 1963 Saunders Mac Lane Mac Lane coherence theorem for determining commutativity of diagrams in monoidal categories...

ISBN 978-1-4419-1523-8. "2.2 The Theory of 2-Categories". Kerodon. MacLane, Saunders; Paré, Robert (1985). "Coherence for bicategories and indexed categories". Journal...

opposite comultiplication. Note that we also implicitly use Mac Lane's coherence theorem for the monoidal category of vector spaces, identifying ( U ⊗...

ISBN 978-1-4939-2299-4. MR 3309296. Khan 2023, Theorem 3.1.5. Vistoli 2008, Proposition 3.11. Mac Lane, Saunders (1998). Categories for the Working Mathematician...

Miguel L. (1972). "Coherence for distributivity" (PDF). In G. M. Kelly; M. Laplaza; G. Lewis; Saunders Mac Lane (eds.). Coherence in Categories. Lecture...

a new mathematical theory was created by Samuel Eilenberg and Saunders Mac Lane, known as category theory, and it became a new contender for the natural...

De Moivre–Laplace theorem In probability theory, the de Moivre–Laplace theorem, which is a special case of the central limit theorem, states that the normal...

incompleteness theorem. Gödel's slingshot argument An argument concerning the semantics of reference and truth, challenging the coherence of theories that...

2018.11.013 MacLane 1978, p. 138. Bénabou, Jean (1967). "Introduction to bicategories". In Bénabou, J.; Davis, R.; Dold, A.; Isbell, J.; MacLane, S.; Oberst...

itself. Like for modules, coherence is in general a strictly stronger condition than finite presentation. The Oka coherence theorem states that the sheaf...

generalized the binomial theorem to any real number, introduced the Puiseux series, was the first to state Bézout's theorem, classified most of the cubic...

universe MA Martin's axiom MAD Maximally Almost Disjoint Mac Lane 1.  Saunders Mac Lane 2.  Mac Lane set theory is Zermelo set theory with the axiom of separation...

is the dual of an equalizer. coherator coherator coherence theorem A coherence theorem is a theorem of a form that states a weak structure is equivalent...

Tractatus adhered to a correspondence theory of truth, as opposed to a coherence theory of truth. Logical positivists were also influenced by Wittgenstein's...

the brand new Alamo Drafthouse Lakeline location from September 19–26. Coherence Detective Downs Goldberg and Eisenberg Grand Piano Greatful Dead LFO Machete...

2012), "UPDATE: Toronto: Terry Gilliam Confirms Christoph Waltz For Zero Theorem", DeadLine. "Android Cop (2014) - Mark Atkins | Synopsis, Movie Info, Moods...

powerful argument for epistemological skepticism, by challenging its coherence. In metaphysics, he originally espoused a position called metaphysical...

rounding errors] (PDF) (Thesis) (in Finnish). pp. 6–7. "The Boyer-Moore Theorem Prover". Archived from the original on 23 September 2015. Retrieved 15...

FRS (1928–1990): Irish physicist. Best known for his discovery of Bell's theorem. Richard E. Bellman (1920–1984): American applied mathematician, best known...

Home Service in December 1948. John Newsome Crossley. A Note on Cantor's Theorem and Russell's Paradox, Australian Journal of Philosophy 51, 1973, 70–71...

homotopy, but this homotopy fulfills no higher conditions. To get full coherence of higher homotopies one must assume that the space is (equivalent to)...

Amer. Math. Soc. 35 (6): 880–881. doi:10.1090/s0002-9904-1929-04818-3. Mac Lane, Saunders (1938). "Review: The Logical Syntax of Language by Rudolf Carnap...

Prize in Physics "for his contribution to the quantum theory of optical coherence", with the other half shared by John L. Hall and Theodor W. Hänsch David...

Hiroshi; Ohshima, Takeshi; Awschalom, David D. (12 May 2020). "Universal coherence protection in a solid-state spin qubit". Science. 369 (6510): 1493–1497...