標(biāo)題: Titlebook: Basic Bundle Theory and K-Cohomology Invariants; D. Husem?ller,M. Joachim,M. Schottenloher Book 2008 Springer-Verlag Berlin Heidelberg 200 [打印本頁] 作者: deep-sleep 時間: 2025-3-21 18:58
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書目名稱Basic Bundle Theory and K-Cohomology Invariants讀者反饋
書目名稱Basic Bundle Theory and K-Cohomology Invariants讀者反饋學(xué)科排名
作者: Lyme-disease 時間: 2025-3-21 21:01
Generalities on Bundles and Categoriesuse the term bundle in the most general context, and then in the next chapters, we define the main concepts of our study, that is, vector bundles, principal bundles, and fibre bundles, as bundles with additional structure.作者: 謙卑 時間: 2025-3-22 03:00
Vector Bundles complex finite dimensional vector space . and make . the fibre of a bundle over ., where each fibre is isomorphic to this vector space. The simplest way to do this is to form the product . and the projection .. : . onto the first factor. This is the product vector bundle with base . and fibre ..作者: 模范 時間: 2025-3-22 08:05 作者: Ankylo- 時間: 2025-3-22 09:08 作者: 含糊其辭 時間: 2025-3-22 14:30 作者: Bph773 時間: 2025-3-22 17:05 作者: Sarcoma 時間: 2025-3-22 23:32 作者: 狗窩 時間: 2025-3-23 02:06
Basic Characteristic Classesace. It was natural to try and make calculations with bundles in terms of cohomology for two reasons. With homology and cohomology, there were combinatorial tools for computation. Then, cohomology and bundles each had contravariant properties under continuous mappings. The first definitions of chara作者: 諷刺滑稽戲劇 時間: 2025-3-23 09:26 作者: CLAIM 時間: 2025-3-23 12:57
Equivariant ,-Theory Functor K, : Periodicity, Thom Isomorphism, Localization, and Completioning the semiring of .-vector bundles into its ring envelope. We saw that the basic properties of the equivariant versions of vector bundle theory have close parallels with the usual vector bundle theory, and the same is true for the related relative .-theories. This we carry further in this chapter 作者: 圓柱 時間: 2025-3-23 15:48 作者: 種植,培養(yǎng) 時間: 2025-3-23 19:43 作者: LATE 時間: 2025-3-24 01:52
Generalities on Bundles and Categoriesuse the term bundle in the most general context, and then in the next chapters, we define the main concepts of our study, that is, vector bundles, principal bundles, and fibre bundles, as bundles with additional structure.作者: Buttress 時間: 2025-3-24 02:34 作者: AV-node 時間: 2025-3-24 09:05 作者: 領(lǐng)巾 時間: 2025-3-24 11:36 作者: 公共汽車 時間: 2025-3-24 17:18 作者: Diverticulitis 時間: 2025-3-24 22:23 作者: athlete’s-foot 時間: 2025-3-25 00:38
https://doi.org/10.1007/978-3-642-13125-7a great task, but there is a special construction of a principal G-bundle due to Milnor. It has the property that all other numerable principal G-bundles over all possible spaces are induced from this particular bundle. Thus, it is called the universal principal Gbundle, and its base space is called the classifying space . of the group G.作者: Palpable 時間: 2025-3-25 04:19
Heilpflanzen für Atemwege und Bronchienor example, instantons and monopoles. They can carry charges that are topological invariants and so are conserved under small fluctuations. Similarly in string theory, D-branes carry topological charges. In the semiclassical geometric description, these charges can be understood as sources of Ramond作者: 名次后綴 時間: 2025-3-25 09:03 作者: 責(zé)任 時間: 2025-3-25 14:39
Heilpflanzen für Niere, Blase und Prostata complex finite dimensional vector space . and make . the fibre of a bundle over ., where each fibre is isomorphic to this vector space. The simplest way to do this is to form the product . and the projection .. : . onto the first factor. This is the product vector bundle with base . and fibre ..作者: Aids209 時間: 2025-3-25 18:27 作者: Malcontent 時間: 2025-3-25 22:26 作者: 人類 時間: 2025-3-26 02:49 作者: 鄙視讀作 時間: 2025-3-26 07:10 作者: flavonoids 時間: 2025-3-26 08:33 作者: 和藹 時間: 2025-3-26 13:31 作者: EPT 時間: 2025-3-26 17:42
Heilpflanzenkunde für Tier?rzteies, we will assume that the group is a topological group. Let G be a topological group which is eventually a compact Lie group.We consider .-spaces . and .-vector bundles with a base G-space. The aim is to develop the theory in a parallel fashion to ordinary bundle theory taking into account the .-作者: aerobic 時間: 2025-3-26 22:33
https://doi.org/10.1007/b137677ing the semiring of .-vector bundles into its ring envelope. We saw that the basic properties of the equivariant versions of vector bundle theory have close parallels with the usual vector bundle theory, and the same is true for the related relative .-theories. This we carry further in this chapter 作者: Lineage 時間: 2025-3-27 02:37
https://doi.org/10.1007/978-3-540-74956-1Cohomology; D-branes; K-Cohomology; algebra; category theory; fibre bundles; mathematical physics; ring the作者: 假設(shè) 時間: 2025-3-27 09:14 作者: 刺耳的聲音 時間: 2025-3-27 12:14
Pflanzen als Nahrungsmittel und MedizinIn this chapter, we prepare the basic definitions on the homotopy relation between maps. These ideas apply everywhere in geometry, and it is usually the case that invariants of maps which are interesting are those which are the same for two homotopic maps.作者: 健壯 時間: 2025-3-27 13:37 作者: 松緊帶 時間: 2025-3-27 18:33
https://doi.org/10.1007/978-3-662-60344-4A topological manifold . of dimension . has a fundamental class denoted by .. or [M] ∈ ..(.), and when it has an orientation, this class is defined in ..(.) with the same notation. In each case, the cap product.作者: Interferons 時間: 2025-3-27 23:19
Heilpflanzen bei Darmerkrankungen,Orientation of a real vector bundle . can be described in terms of the .- associated principal bundle. Namely, orientability is equivalent to the property that the structure group of the bundle can be reduced to ..作者: etidronate 時間: 2025-3-28 05:29 作者: Delude 時間: 2025-3-28 06:36
Cohomology Classes as Homotopy Classes: CW-ComplexesWe consider filtered spaces and especially CW-complexes. Using the cofibre constructions, we discuss the Whitehead mapping theorem. This characterization of homotopy equivalence was already used in the study of the uniqueness properties of classifying spaces. This completes a question left open in the previous chapter.作者: 昏迷狀態(tài) 時間: 2025-3-28 12:49
Characteristic Classes of ManifoldsA topological manifold . of dimension . has a fundamental class denoted by .. or [M] ∈ ..(.), and when it has an orientation, this class is defined in ..(.) with the same notation. In each case, the cap product.作者: In-Situ 時間: 2025-3-28 14:39 作者: 看法等 時間: 2025-3-28 19:57
0075-8450 bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. ..One renewed motivation for studying this subject, which 作者: 補(bǔ)助 時間: 2025-3-28 23:09
Heilpflanzen für Nerven, Psyche und Schlaftorial tools for computation. Then, cohomology and bundles each had contravariant properties under continuous mappings. The first definitions of characteristic classes were given by obstructions to existence to cross sections of a bundle or related fibre bundle. Examples of this can be found in the book by Steenrod (1951).作者: Axon895 時間: 2025-3-29 04:10
https://doi.org/10.1007/b137677 close parallels with the usual vector bundle theory, and the same is true for the related relative .-theories. This we carry further in this chapter for the version of topological .-theory that has close relations to index theory.作者: badinage 時間: 2025-3-29 08:25
Basic Characteristic Classestorial tools for computation. Then, cohomology and bundles each had contravariant properties under continuous mappings. The first definitions of characteristic classes were given by obstructions to existence to cross sections of a bundle or related fibre bundle. Examples of this can be found in the book by Steenrod (1951).作者: 暗語 時間: 2025-3-29 14:08 作者: laparoscopy 時間: 2025-3-29 15:36 作者: Fraudulent 時間: 2025-3-29 21:08
Relation Between Vector Bundles, Projective Modules, and Idempotentssets up the equivalence of categories between the category of (complex) vector bundles (vect/.) on . and the full subcategory of finitely generated projective modules in the category (C(.)) of all C(X)-modules.作者: fluoroscopy 時間: 2025-3-30 00:52 作者: Aspirin 時間: 2025-3-30 07:19
Principal Bundles and Sections of Fibre Bundles: Reduction of the Structure and the Gauge Group Iare isomorphic to G by any map .. of the form . for any .. and all .. For a principal G-bundle . : P → B and a left G-space Y, we have the fibre bundle construction .... Vector bundles are examples of fibre bundles where ., the general linear group, and Y is an .-dimensional vector space.作者: Estimable 時間: 2025-3-30 11:46
Fibrations and Bundles: Gauge Group IIndles have this property. The base space of each universal bundle is a new model for the classifying space . of the group ., and it is homotopy equivalent to the base space of the Milnor construction. For this analysis, we introduce the notion of fibre map and fibre mapping sequence.作者: podiatrist 時間: 2025-3-30 14:29
0075-8450 has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role..978-3-642-09436-1978-3-540-74956-1Series ISSN 0075-8450 Series E-ISSN 1616-6361 作者: 陳腐的人 時間: 2025-3-30 16:45 作者: reperfusion 時間: 2025-3-31 00:15 作者: foodstuff 時間: 2025-3-31 01:20 作者: 借喻 時間: 2025-3-31 08:17
Book 2008le data related to bundles into a global object. ..One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role..
