標題: Titlebook: Algebraic Topology - Homotopy and Homology; Robert M. Switzer Book 2002 Springer-Verlag GmbH Germany 2002 Algebraic topology.YellowSale200 [打印本頁] 作者: 挑染 時間: 2025-3-21 19:49
書目名稱Algebraic Topology - Homotopy and Homology影響因子(影響力)
書目名稱Algebraic Topology - Homotopy and Homology影響因子(影響力)學科排名
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書目名稱Algebraic Topology - Homotopy and Homology網(wǎng)絡(luò)公開度學科排名
書目名稱Algebraic Topology - Homotopy and Homology被引頻次
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書目名稱Algebraic Topology - Homotopy and Homology年度引用
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書目名稱Algebraic Topology - Homotopy and Homology讀者反饋
書目名稱Algebraic Topology - Homotopy and Homology讀者反饋學科排名
作者: 解脫 時間: 2025-3-21 21:53 作者: artifice 時間: 2025-3-22 00:36
,Mehrheit von Sch?digern (§§ 830, 840),ave one standard trick for showing two functions are not homotopic: for any cohomology theory . if .*. .(.(.)) → .(.), then . ?. and hence ξ ? η. Therefore we look for an appropriate . and some .(.(.))such that .*.(x) ≠ .*.(.) ∈ .*(.).作者: Aromatic 時間: 2025-3-22 05:04 作者: 除草劑 時間: 2025-3-22 12:36 作者: 歌曲 時間: 2025-3-22 16:12 作者: CLIFF 時間: 2025-3-22 20:29 作者: 喚醒 時間: 2025-3-22 21:22
,Haftung für Drittsch?den (§§ 844-846),suitable exactness axiom we shall find a .-complex (., .) and a natural equivalence .: [-; ., .] → ., *. We shall also prove such a theorem for cofunctors ., * defined only on the category .’. of finite .-complexes provided .* takes values in .. . is called a .for . *.作者: 鋼盔 時間: 2025-3-23 02:37 作者: GRAVE 時間: 2025-3-23 06:50 作者: 泛濫 時間: 2025-3-23 12:23 作者: Fallibility 時間: 2025-3-23 17:14
-Complexes,might hope to construct maps step by step, extending them over the building blocks one at a time. In this chapter we describe a useful category of such spaces (.-complexes) and display some of their elementary properties. In the next chapter we shall prove some much deeper homotopy properties of .-complexes.作者: disparage 時間: 2025-3-23 18:46 作者: 沒有貧窮 時間: 2025-3-23 22:22
Manifolds and Bordism,t of the book (it is recommended that the reader unfamiliar with the theory of manifolds see [69] or [52]). Instead we go on to define the Thorn complex of a vector bundle and the various Thorn spectra .. Then we sketch the proof of Thorn that the homology theories associated with these spectra can be described in terms of singular manifolds.作者: flimsy 時間: 2025-3-24 02:30
Products,roduce products, so that under appropriate assumptions .*(.) will be a ring for all .. In Chapters 17, 18 and 19 we introduce another very useful algebraic structure: we make .(.) into a comodule over a certain Hopf algebra (and .*(.) into a module over the dual Hopf algebra).作者: 危險 時間: 2025-3-24 07:10 作者: 和音 時間: 2025-3-24 12:12
Book 2002e part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology theories and their applications. ... The author has sought to make his treatment complete and he has 作者: 使高興 時間: 2025-3-24 15:57 作者: mastopexy 時間: 2025-3-24 19:16 作者: SHRIK 時間: 2025-3-24 23:21
,Mehrheit von Sch?digern (§§ 830, 840),itable spaces .. One of the early discoveries of algebraic topology was that if . is a closed .-dimensional orientable manifold, then .(.; ?) ≌ .(.; ?) for all ., 0 ? . ? .. We shall prove this Poincaré duality theorem for general homology theories.作者: 摘要 時間: 2025-3-25 06:34
Covid-19: New Use of Therapeutics,n properties). If one is trying to show the non-existence of a map .: . → . with certain properties, then one wants to show that no homomorphism .*:.*(.) → .(.)with corresponding properties lies in im .. Thus it is desirable to obtain good limits on the extent of im ..作者: 不可思議 時間: 2025-3-25 11:22
Spectra,d (., .) ∈ → .’. Now in particular, if .* is a reduced cohomology theory satisfying the wedge axiom, then for every . ∈ . . is a cofunctor of the required form, and hence .(-) = [-; ., *] for some (En, *) ∈ .’. The cofunctors hn are not unrelated, however; we have natural equivalences 作者: MUT 時間: 2025-3-25 14:03 作者: stroke 時間: 2025-3-25 18:29
Cohomology Operations and Homology Cooperations,n properties). If one is trying to show the non-existence of a map .: . → . with certain properties, then one wants to show that no homomorphism .*:.*(.) → .(.)with corresponding properties lies in im .. Thus it is desirable to obtain good limits on the extent of im ..作者: 加強防衛(wèi) 時間: 2025-3-25 21:37
The Steenrod Algebra and its Dual,s precisely how Cartan did determine this algebra (see [28]) using some heavy guns from homological algebra. We shall take a different approach, however; we shall construct some specific cohomology operations—the Steenrod squares .—and show that they generate the algebra .(.(?.); ?.). It will then n作者: expire 時間: 2025-3-26 02:49 作者: 否認 時間: 2025-3-26 08:23
Categories, Functors and Natural Transformations,etween objects will be considered; thus, for example, topological spaces and continuous functions, groups and homomorphisms, rings and ring homomorphisms. If we formalize this observation, we are led to the notion of a category.作者: STANT 時間: 2025-3-26 10:42 作者: confide 時間: 2025-3-26 14:33 作者: obligation 時間: 2025-3-26 17:21 作者: Expand 時間: 2025-3-26 22:23
-Complexes,ological spaces. One of the difficulties is that given two arbitrary topological spaces . it is very difficult to construct any map .: . → .. If we restricted our attention to a class of spaces built up step by step out of simple building blocks (think of simplicial complexes, for example), then we 作者: 地名表 時間: 2025-3-27 04:10
Homotopy Properties of ,-Complexes,will be consequences of the simplicial approximation theorem. In addition, we shall show that if .: . → . is a map between .-complexes such that .: .(., .) → .(., .) is an isomorphism for all . ? 0, then. is a homotopy equivalence.作者: tympanometry 時間: 2025-3-27 07:33 作者: finite 時間: 2025-3-27 11:27 作者: THROB 時間: 2025-3-27 17:29
Representation Theorems,shall prove a converse result: given a cohomology theory . satisfying the wedge axiom on .’ we shall construct a spectrum . and a natural equivalence of cohomology theories .: .* →p .* on .’. In fact, we shall do somewhat more than that; for any cofunctor .*: .’ → . satisfying the wedge axiom and a 作者: 亞麻制品 時間: 2025-3-27 19:09
Ordinary Homology Theory,ingular homology . is an ordinary homology theory with coefficients . on the category .’. We shall show that any two ordinary homology theories with coefficients . satisfying the wedge and WHE axioms are naturally equivalent. We shall also construct the Eilenberg-MacLane spectrum . with 作者: 暴發(fā)戶 時間: 2025-3-28 01:30
Vector Bundles and ,-Theory,ose for which every fibre has the structure of a vector space in a way which is compatible on neighboring fibres. We show how equivalence classes of such vector bundles over a .-complex can be used to define groups .*(.) in such a way that .* becomes a cohomology theory.作者: laceration 時間: 2025-3-28 05:22 作者: 沉著 時間: 2025-3-28 10:05
Products,homology functors: one wants to investigate the existence or nonexistence of maps .: . → . by looking at the corresponding algebraic morphisms .:.(.) → .(.). As we have said before, the richer the algebraic structure on .(.), the more useful . will be for these investigations. In this chapter we int作者: 小母馬 時間: 2025-3-28 12:51 作者: chemoprevention 時間: 2025-3-28 16:45 作者: 著名 時間: 2025-3-28 20:33
Characteristic Classes,ps .→ .(.)of . into the classifying space .(.) for .(.)-bundles. If ξ, η are two .(.)-bundles with classifying maps ., .→.(.), then . ? ηif and only if . ?.. Suppose we wanted to prove ξ, η were . isomorphic. We might try to show that ., and . were not homotopic. There are two disadvantages to this 作者: 評論性 時間: 2025-3-28 23:20
Cohomology Operations and Homology Cooperations,geometric problems (existence or non-existence of maps .→.) into algebraic problems (existence or non-existence of .(.)-module homomorphisms with given properties). If one is trying to show the non-existence of a map .: . → . with certain properties, then one wants to show that no homomorphism .*:.*作者: mastopexy 時間: 2025-3-29 06:06
The Steenrod Algebra and its Dual, were known as much as fifteen years before .*(.), for example, we shall see that the calculation of these Hopf algebras is at least as difficult as the calculation we just did for .. In theory we could proceed as follows: for each . we have a fibration .(?.,.-1) → .(?., .) → .(?., .), and the total作者: MAL 時間: 2025-3-29 08:40 作者: 繞著哥哥問 時間: 2025-3-29 13:26
Classics in Mathematicshttp://image.papertrans.cn/a/image/152743.jpg作者: 忘恩負義的人 時間: 2025-3-29 16:13
Algebraic Topology - Homotopy and Homology978-3-642-61923-6Series ISSN 1431-0821 Series E-ISSN 2512-5257 作者: 駁船 時間: 2025-3-29 23:31
,Haftung für Drittsch?den (§§ 844–846),etween objects will be considered; thus, for example, topological spaces and continuous functions, groups and homomorphisms, rings and ring homomorphisms. If we formalize this observation, we are led to the notion of a category.作者: 無法破譯 時間: 2025-3-30 02:43 作者: chandel 時間: 2025-3-30 05:31
https://doi.org/10.1007/3-540-29725-1.) of a pointed topological pair . ∈ . ? . and show how they fit into a long exact sequence with the groups .(., .) and .(., .). Finally we shall discuss the relation between the groups .(., .) and .(., .) for different base points.作者: Judicious 時間: 2025-3-30 08:12 作者: 偶像 時間: 2025-3-30 13:39
https://doi.org/10.1007/978-3-540-89060-7ingular homology . is an ordinary homology theory with coefficients . on the category .’. We shall show that any two ordinary homology theories with coefficients . satisfying the wedge and WHE axioms are naturally equivalent. We shall also construct the Eilenberg-MacLane spectrum . with 作者: Judicious 時間: 2025-3-30 19:06
Die Haftung aus vermutetem Verschulden,ose for which every fibre has the structure of a vector space in a way which is compatible on neighboring fibres. We show how equivalence classes of such vector bundles over a .-complex can be used to define groups .*(.) in such a way that .* becomes a cohomology theory.作者: Focus-Words 時間: 2025-3-30 21:54 作者: 奴才 時間: 2025-3-31 04:46
,Haftung für Drittsch?den (§§ 844–846),etween objects will be considered; thus, for example, topological spaces and continuous functions, groups and homomorphisms, rings and ring homomorphisms. If we formalize this observation, we are led to the notion of a category.作者: ANTE 時間: 2025-3-31 05:35
https://doi.org/10.1007/3-540-29725-1ich guarantee that .(., .) and .(., .) are groups for all pointed spaces (., .)—i.e. conditions on (., .) which make . (resp. .) a functor (resp. cofunctor) from . (or P .) to c. In particular, if .is a pointed space such that . and we investigate some of the properties of ..作者: figure 時間: 2025-3-31 09:22 作者: 過于光澤 時間: 2025-3-31 17:13 作者: 致命 時間: 2025-3-31 21:16 作者: tangle 時間: 2025-4-1 00:42 作者: Arctic 時間: 2025-4-1 02:01 作者: 雪上輕舟飛過 時間: 2025-4-1 09:51 作者: RECUR 時間: 2025-4-1 12:13 作者: 溫和女人 時間: 2025-4-1 14:23
https://doi.org/10.1007/978-3-540-89060-7ingular homology . is an ordinary homology theory with coefficients . on the category .’. We shall show that any two ordinary homology theories with coefficients . satisfying the wedge and WHE axioms are naturally equivalent. We shall also construct the Eilenberg-MacLane spectrum . with 作者: ticlopidine 時間: 2025-4-1 20:09
