调停
发表于 2025-3-21 19:27:28
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易怒
发表于 2025-3-21 23:16:14
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CHIDE
发表于 2025-3-22 01:34:46
Monads and Algebras, from this monad in .. Another principal result is a theorem due to Beck, which describes exactly those categories . with adjunctions 〈 ., ., .〉:.⇀. which can be so reconstructed from a monad . in the base category .. It then turns out that algebras in this last sense are so general as to include the compact Hausdorff spaces (§ 9).
CREEK
发表于 2025-3-22 08:33:39
Monoids,aces by this isomorphism. Closer analysis shows that more care is requisite in this identification — one must use the . isomorphism, and one must verify that the resulting identification of multiple products can be made in a “coherent” way.
custody
发表于 2025-3-22 08:47:56
0072-5285 s, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct an
Negligible
发表于 2025-3-22 13:19:25
Organic Opals: Properties and Applicationsved. This leads to a set of axioms describing an “abelian” category. The axioms suffice to prove all the facts about commuting diagrams and connecting morphisms which are proved in Ab by methods of chasing elements. We carry the subject exactly to this point, leaving the subsequent development of homological algebra to more specialized treatments.
Negligible
发表于 2025-3-22 21:02:47
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披肩
发表于 2025-3-22 23:50:42
Textbook 1978Latest editionok illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse
使厌恶
发表于 2025-3-23 05:22:51
Sabine Wöhlke,Julia Inthorn,Silke Schicktanzersals and limits and examine a few basic types of limits (products, pullbacks, and equalizers ...). Deeper properties will appear in Chapter IX on special limits, while the relation to adjoints will be treated in Chapter V.
notification
发表于 2025-3-23 07:30:33
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