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Titlebook: Geometry and Topology of Configuration Spaces; Edward R. Fadell,Sufian Y. Husseini Book 2001 Springer-Verlag Berlin Heidelberg 2001 Algebr

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發(fā)表于 2025-3-21 16:19:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Geometry and Topology of Configuration Spaces
編輯Edward R. Fadell,Sufian Y. Husseini
視頻videohttp://file.papertrans.cn/384/383784/383784.mp4
概述Self-contained treatment of the topology of configuration spaces.Distinctive feature: it is more geometric than is traditional.More accessible account by the present authors as well as a consolidation
叢書(shū)名稱Springer Monographs in Mathematics
圖書(shū)封面Titlebook: Geometry and Topology of Configuration Spaces;  Edward R. Fadell,Sufian Y. Husseini Book 2001 Springer-Verlag Berlin Heidelberg 2001 Algebr
描述The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Eulidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type.
出版日期Book 2001
關(guān)鍵詞Algebraic topology; Homotopy; Loop group; cohomology; fibrations; homology; homotopy theory
版次1
doihttps://doi.org/10.1007/978-3-642-56446-8
isbn_softcover978-3-642-63077-4
isbn_ebook978-3-642-56446-8Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag Berlin Heidelberg 2001
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Einführung in die Meeresbiologie 1ra generated by the set of all α. modulo the ideal generated by the Y-B relations. The proof is by induction on the natural filtration in diagram ..(?.) of Chapter II. The rest of Chapter V is devoted to determining the cohomology algebra of .. These results lead to cohomology bases consisting of multifold products of the elements of ..
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Introductionra generated by the set of all α. modulo the ideal generated by the Y-B relations. The proof is by induction on the natural filtration in diagram ..(?.) of Chapter II. The rest of Chapter V is devoted to determining the cohomology algebra of .. These results lead to cohomology bases consisting of multifold products of the elements of ..
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1439-7382 le account by the present authors as well as a consolidationThe configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a co
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Einführung in die Medienwissenschaftes when the sphere .. is .., .., or ... In this chapter we consider the case . > 2 only, so the relevant configuration spaces are simply connected. The case .. presents a new kind of difficulty, as the corresponding configuration spaces are no longer simply connected. It will be taken up in Chapter IV.
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發(fā)表于 2025-3-22 16:40:27 | 只看該作者
Einführung in die Mehrebenenanalysegy, which we write as.for all 1 ≤ . ≤ (. - 1); and, second, that each .-fold twisted product ω leads to an imbedding.of a certain kind. These maps provide us with the cells and attaching maps of the desired complex.
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Kostenstellenrechnung mit Grenzplankosten,tion to ask is whether the space of free loops . splits, at the homology level, as a tensor product of the homology of the split factors of .. We shall see in this chapter that this is the exception: it is true for . = 3, but not in general.
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