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標(biāo)題: Titlebook: Elements of Homotopy Theory; George W. Whitehead Textbook 1978 The Editor(s) (if applicable) and The Author(s), under exclusive license to [打印本頁]

作者: mortality    時(shí)間: 2025-3-21 16:50
書目名稱Elements of Homotopy Theory影響因子(影響力)




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書目名稱Elements of Homotopy Theory讀者反饋學(xué)科排名





作者: BUDGE    時(shí)間: 2025-3-21 22:02

作者: Estimable    時(shí)間: 2025-3-22 03:05

作者: FECT    時(shí)間: 2025-3-22 06:32

作者: CALL    時(shí)間: 2025-3-22 11:38
Homology with Local Coefficients,e of the last chapter. If . → . is a cross-section over the .-skeleton, the problem of extending . reduces to a family of local problems: for each . + l)-cell . of ., the induced fibration over Δ. is fibre homotopically trivial. Its total space may thus be represented as a product Δ. x ., where . is
作者: 太空    時(shí)間: 2025-3-22 16:25
Homology of Fibre Spaces: Elementary Theory,. The behavior of the homology groups is much more complicated. In the simplest case, that of a trivial fibration, the relationship is given by the Kimneth Theorem. The general case will be treated in Chapter XIII with the aid of the complicated machinery of spectral sequences. In this Chapter we sh
作者: 太空    時(shí)間: 2025-3-22 19:48

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作者: 憲法沒有    時(shí)間: 2025-3-23 06:28

作者: 喧鬧    時(shí)間: 2025-3-23 13:01
Introduction: Where Are We Now?ns of homotopy theory: extension and lifting problems. The notion of hom-otopy is introduced, and its connection with the above problems discussed. This leads to a formulation of fibrations and cofibrations, which have played such a fundamental role in the development of the subject.
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作者: 頭腦冷靜    時(shí)間: 2025-3-23 18:30
The Future Nature of Consulting Servicesory . to the category of groups if . = 1, abelian groups if . 1. In certain respects, they resemble the homology groups, and one of the objectives of this chapter is to pursue this analogy and see where it may lead.
作者: 拉開這車床    時(shí)間: 2025-3-24 01:46
Anthony J. Berry,Jane Broadbent,David Otleyr all .. The next step is the determination of . .. By the results of §2 of Chapter II, . is a free abelian group with one basis element for each .-cell of .. We have seen that the Hurewicz map .: . . → . is an epimorphism whose kernel is generated by all elements of the form . — . (.) with α . . .
作者: Brain-Waves    時(shí)間: 2025-3-24 05:05
Jane Broadbent,Richard Laughline of the last chapter. If . → . is a cross-section over the .-skeleton, the problem of extending . reduces to a family of local problems: for each . + l)-cell . of ., the induced fibration over Δ. is fibre homotopically trivial. Its total space may thus be represented as a product Δ. x ., where . is
作者: Carminative    時(shí)間: 2025-3-24 09:36

作者: 竊喜    時(shí)間: 2025-3-24 14:14

作者: synovium    時(shí)間: 2025-3-24 16:24
David Ashton,Mark Easterby-Smiths group need not be abelian (although it is if . is the suspension of a space .). It is natural to ask whether it may be nilpotent. It turns out that the degree of nilpotence is closely related to the Lusternik-Schnirelmann category of the space . Indeed, a mild change in the definition of the latte
作者: Antarctic    時(shí)間: 2025-3-24 21:32
https://doi.org/10.1007/978-3-319-40778-4s. The universal example for operations in one variable is a sphere; for operations in several variables it is a cluster . of spheres. More precisely, let a e α ∈ . (∑), and let . ∈ . . 1,…, .. Then there is a map . : ∑ → X such that .| S. represents ., and the correspondence. is a homotopy operatio
作者: Precursor    時(shí)間: 2025-3-25 02:30
Law and Business: Comparative Perspectivesd pair .. The homology groups of the triples (., X., .) are linked together in an intricate way. They can, however, be assembled into two graded groups which are connected by an exact triangle. Such a diagram is called an exact couple; the notion is due to Massey [1; 2]. The basic operation on exact
作者: 驚奇    時(shí)間: 2025-3-25 06:15

作者: Myocyte    時(shí)間: 2025-3-25 09:58
,The Role of Tomorrow’s Manager,In Chapter V we showed how to use the process of attaching cells to construct CW-complexes with desired properties. In this Chapter we shall exploit this process further, one of our aims being to show how any space can be built up, up to homotopy type, out of Eilenberg-MacLane spaces.
作者: 不遵守    時(shí)間: 2025-3-25 13:33

作者: phytochemicals    時(shí)間: 2025-3-25 19:40
Postnikov Systems,In Chapter V we showed how to use the process of attaching cells to construct CW-complexes with desired properties. In this Chapter we shall exploit this process further, one of our aims being to show how any space can be built up, up to homotopy type, out of Eilenberg-MacLane spaces.
作者: commonsense    時(shí)間: 2025-3-25 21:52

作者: 薄膜    時(shí)間: 2025-3-26 01:44

作者: 使顯得不重要    時(shí)間: 2025-3-26 07:21

作者: 離開就切除    時(shí)間: 2025-3-26 10:45
Andrew M. McCosh,Michael S. Scott Mortonin . which end at the base point; then the map .: P’(B) . . defined by . = .(0) is a fibration with . as fibre. The total space P’(.) being acyclic, the boundary operator . is an isomorphism, and the map . induces . the homomorphism
作者: 縮影    時(shí)間: 2025-3-26 14:51
Introductory Notions,ns of homotopy theory: extension and lifting problems. The notion of hom-otopy is introduced, and its connection with the above problems discussed. This leads to a formulation of fibrations and cofibrations, which have played such a fundamental role in the development of the subject.
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作者: 寬敞    時(shí)間: 2025-3-27 03:59
https://doi.org/10.1007/978-1-4612-6318-0Base; Calc; Characteristic class; Elements; Excision theorem; Fundamental group; Homotopie; Homotopy; Homoto
作者: 遍及    時(shí)間: 2025-3-27 09:14

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作者: 有機(jī)體    時(shí)間: 2025-3-28 10:15
Law and Business: Comparative Perspectivess which are connected by an exact triangle. Such a diagram is called an exact couple; the notion is due to Massey [1; 2]. The basic operation on exact couples, that of ., gives rise to a new exact couple. Hence the process can be iterated to obtain an infinite sequence of diagrams.
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作者: 樣式    時(shí)間: 2025-3-28 16:03

作者: Blood-Vessels    時(shí)間: 2025-3-28 22:06

作者: gentle    時(shí)間: 2025-3-29 01:50
Homology of Fibre Spaces,s which are connected by an exact triangle. Such a diagram is called an exact couple; the notion is due to Massey [1; 2]. The basic operation on exact couples, that of ., gives rise to a new exact couple. Hence the process can be iterated to obtain an infinite sequence of diagrams.
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作者: 細(xì)菌等    時(shí)間: 2025-3-29 12:25

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作者: 令人悲傷    時(shí)間: 2025-3-29 23:12

作者: Encephalitis    時(shí)間: 2025-3-30 01:19
Homology with Local Coefficients, the function . as a cochain of . with coefficients in the abstract group .. The difficulty is that the isomorphisms . (.) ≈ . (.) are not uniquely defined; they depend on the choice of a homotopy class of paths joining . and ..
作者: Allege    時(shí)間: 2025-3-30 08:07
Textbook 1978 with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. Some acquaintance with manifolds and Poincare duality is desirable, but not essential. Anyone who has taught a course in algebraic topology is familiar with the fact that a formi
作者: certain    時(shí)間: 2025-3-30 12:17
Textbook 1978oach will make homotopy theory accessible to workers in a wide range of other subjects-subjects in which its impact is beginning to be felt. It is a consequence of this approach that the order of development is to a certain extent historical. Indeed, if the order in which the results presented here




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