標(biāo)題: Titlebook: Categories for the Working Mathematician; Saunders Mac Lane Textbook 1978Latest edition Springer Science+Business Media New York 1978 Adjo [打印本頁] 作者: 調(diào)停 時間: 2025-3-21 19:27
書目名稱Categories for the Working Mathematician影響因子(影響力)
書目名稱Categories for the Working Mathematician影響因子(影響力)學(xué)科排名
書目名稱Categories for the Working Mathematician網(wǎng)絡(luò)公開度
書目名稱Categories for the Working Mathematician網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Categories for the Working Mathematician被引頻次
書目名稱Categories for the Working Mathematician被引頻次學(xué)科排名
書目名稱Categories for the Working Mathematician年度引用
書目名稱Categories for the Working Mathematician年度引用學(xué)科排名
書目名稱Categories for the Working Mathematician讀者反饋
書目名稱Categories for the Working Mathematician讀者反饋學(xué)科排名
作者: 易怒 時間: 2025-3-21 23:16 作者: CHIDE 時間: 2025-3-22 01:34
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).作者: CREEK 時間: 2025-3-22 08:33
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.作者: custody 時間: 2025-3-22 08:47
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作者: Negligible 時間: 2025-3-22 13:19
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.作者: Negligible 時間: 2025-3-22 21:02 作者: 披肩 時間: 2025-3-22 23:50
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 作者: 使厭惡 時間: 2025-3-23 05:22
Sabine W?hlke,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.作者: notification 時間: 2025-3-23 07:30 作者: 燒瓶 時間: 2025-3-23 13:39 作者: infarct 時間: 2025-3-23 17:35
Kan Extensions,tal concepts in category theory. With them we find again that each fundamental concept can be expressed in terms of the others. This chapter begins by expressing adjoints as limits and ends by expressing “everything” as Kan extensions.作者: 一窩小鳥 時間: 2025-3-23 20:06
https://doi.org/10.1007/978-3-319-16333-8First we describe categories directly by means of axioms, without using any set theory, and call them “metacategories”. Actually, we begin with a simpler notion, a (meta)graph.作者: 不成比例 時間: 2025-3-24 01:55 作者: 評論性 時間: 2025-3-24 05:36 作者: CHIDE 時間: 2025-3-24 08:52 作者: CALL 時間: 2025-3-24 13:51 作者: LAPSE 時間: 2025-3-24 18:55 作者: Irremediable 時間: 2025-3-24 20:11 作者: ABHOR 時間: 2025-3-25 03:01 作者: Basilar-Artery 時間: 2025-3-25 05:12
Special Limits,This chapter covers two useful types of limits (and colimits): The filtered limits, which are limits taken over preordered sets which are directed (and, more generally, over certain filtered categories), and the “ends”, which are limits obtained from certain bifunctors, and which behave like integrals.作者: 聲明 時間: 2025-3-25 10:49
Structures in Categories,In this chapter, we will examine several conceptual developments. We start with the idea of an “internal” category, described by diagrams within an ambient category. We then go on to study the sequences of composable arrows in a category — they constitute the “nerve” of the category, which turns out to be a simplicial set.作者: ELUDE 時間: 2025-3-25 14:18
Introduction, of arrows. Each arrow . : . → . represents a function; that is, a set ., a set ., and a rule . ? . which assigns to each element . ∈ . an element . ∈ .; whenever possible we write . and not .(.), omitting unnecessary parentheses.作者: 狗舍 時間: 2025-3-25 19:42
Constructions on Categories,n a set-theoretical basis in the next section. Hence for this section a category will not be described by sets (of objects and of arrows) and functions (domain, codomain, composition) but by axioms as in § I.1.作者: 負(fù)擔(dān) 時間: 2025-3-25 20:19 作者: 橫截,橫斷 時間: 2025-3-26 02:45 作者: Facet-Joints 時間: 2025-3-26 08:00 作者: cluster 時間: 2025-3-26 11:50 作者: 誘導(dǎo) 時間: 2025-3-26 13:43
Karin Bruckmüller,Ulrich Schrothn a set-theoretical basis in the next section. Hence for this section a category will not be described by sets (of objects and of arrows) and functions (domain, codomain, composition) but by axioms as in § I.1.作者: 妨礙議事 時間: 2025-3-26 17:06 作者: Chronological 時間: 2025-3-26 21:05 作者: hermetic 時間: 2025-3-27 02:57
Karin Bruckmüller,Ulrich Schrothn a set-theoretical basis in the next section. Hence for this section a category will not be described by sets (of objects and of arrows) and functions (domain, codomain, composition) but by axioms as in § I.1.作者: 昏睡中 時間: 2025-3-27 08:52 作者: MOT 時間: 2025-3-27 10:28 作者: Amnesty 時間: 2025-3-27 15:38 作者: concise 時間: 2025-3-27 21:36
Organic Opals: Properties and Applicationse abelian groups and composition is bilinear), all finite limits and colimits exist, and these limits — especially kernel and cokernel — are well behaved. This leads to a set of axioms describing an “abelian” category. The axioms suffice to prove all the facts about commuting diagrams and connecting作者: 撤退 時間: 2025-3-27 22:22 作者: Glower 時間: 2025-3-28 04:18
Hans van Ditmarsch,Barteld Kooiprincipal result for these categories was a “coherence” theorem: If a certain pentagonal diagram (§VII.1.5) in . commutes, then all diagrams involving this . must commute. We now consider various extensions of this result.作者: Glucocorticoids 時間: 2025-3-28 06:47 作者: vascular 時間: 2025-3-28 13:31 作者: A簡潔的 時間: 2025-3-28 16:44
Textbook 1978Latest editionmber of revisions and additions, including two new chapters on topics of active interest. One is onsymmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into 作者: 減至最低 時間: 2025-3-28 18:46
0072-5285 monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into 978-1-4419-3123-8978-1-4757-4721-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: COLON 時間: 2025-3-29 02:54
Introduction, of arrows. Each arrow . : . → . represents a function; that is, a set ., a set ., and a rule . ? . which assigns to each element . ∈ . an element . ∈ .; whenever possible we write . and not .(.), omitting unnecessary parentheses.作者: interference 時間: 2025-3-29 04:04 作者: 蒼白 時間: 2025-3-29 08:17 作者: BURSA 時間: 2025-3-29 12:44
Monads and Algebras,the category .. of all algebras of the given type, the forgetful functor .: ..→., and its left adjoint ., which assigns to each set . the free algebra . of type τ generated by elements of .. . trace of this adjunction 〈.,.,.〉: . ?.. resides in the category .; indeed, the composite . = . is a functor作者: ostrish 時間: 2025-3-29 17:34
Monoids,d by the usual diagrams relative to the cartesian product × in ., while a ring is a monoid in ., relative to the tensor product ? there. Thus we shall begin with categories . equipped with a suitable bifunctor such as × or ?, more generally denoted by □. These categories will themselves be called “m作者: Nomogram 時間: 2025-3-29 22:02
Abelian Categories,e abelian groups and composition is bilinear), all finite limits and colimits exist, and these limits — especially kernel and cokernel — are well behaved. This leads to a set of axioms describing an “abelian” category. The axioms suffice to prove all the facts about commuting diagrams and connecting作者: 運氣 時間: 2025-3-30 02:06
Kan Extensions,defining such an extension. However, if . is a subcategory of ., each functor . : .→. has in principle . canonical (or extreme) “extensions” from . to functors . : .→.. These extensions are characterized by the universality of appropriate natural transformations; they need not always exist, but when作者: 是他笨 時間: 2025-3-30 05:26 作者: Density 時間: 2025-3-30 10:56
10樓作者: Prognosis 時間: 2025-3-30 13:28
10樓作者: cardiac-arrest 時間: 2025-3-30 18:59
10樓
