泛滥 发表于 2025-3-23 12:23:09
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-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.disparage 发表于 2025-3-23 18:46:10
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Manifolds and Bordism,t of the book (it is recommended that the reader unfamiliar with the theory of manifolds see or ). 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.flimsy 发表于 2025-3-24 02:30:04
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).危险 发表于 2025-3-24 07:10:22
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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使高兴 发表于 2025-3-24 15:57:47
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http://reply.papertrans.cn/16/1528/152743/152743_19.pngSHRIK 发表于 2025-3-24 23:21:55
,Mehrheit von Schädigern (§§ 830, 840),itable spaces .. One of the early discoveries of algebraic topology was that if . is a closed .-dimensional orientable manifold, then .(.; ℤ) ≌ .(.; ℤ) for all ., 0 ⩽ . ⩽ .. We shall prove this Poincaré duality theorem for general homology theories.