宽大
发表于 2025-3-27 00:05:23
Quality Assurance in Latin America class. In section 32, we make one application showing some of the influence of the homology of the total space on the Whitney classes of normal bundles to the fixed point set. In section 33, we give some generalizations of the famed Borsuk antipode theorems.
圣人
发表于 2025-3-27 03:05:04
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相容
发表于 2025-3-27 09:20:21
Introduction,wo closed .-manifolds .. and .. are in the same bordism class if there exists an (. + l)-manifold .. with . the disjoint union of .. and .. (we adopt here .’s suggestions on the usage of “bordism” and “cobordism”). There results the abelian group N. of (unoriented) bordism classes, due to THOM
Painstaking
发表于 2025-3-27 09:58:00
The bordism groups,relation of the bordism type on the class of all such ., arriving in § 4 at the set Ω.(.) of equivalence classes. These groups constitute a generalized homology theory; it is shown in § 5 that the Eilenberg-Steenrod axioms are satisfied except for the dimensional axiom. In § 12 we give a homotopy in
前奏曲
发表于 2025-3-27 15:02:23
Computation of the bordism groups,ir computation, at least in many cases. In order to compute, we use the powerful results of . (Ω* has no odd torsion) and . (see section 14) on . (.). In section 14 we prove that the bordism spectral sequence is trivial modulo the class of odd torsion groups. In section 15 it is proved that if . has
灵敏
发表于 2025-3-27 19:15:12
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Tincture
发表于 2025-3-27 23:40:21
Differentiable Involutions,to be two cases to treat, . = 2, and . odd. In this chapter we treat the case . = 2; that is, we deal with differentiable involutions . on closed manifolds ... A distinctive feature of the case . = 2 is that we may ignore matters of orientation.
缩短
发表于 2025-3-28 04:00:28
Differentiable involutions and bundles,n .-plane bundle .:. → ., we define another .-plane bundle ř: Ě → ., which we call the twist of . by (.). In the manner of .-., we compute its Whitney class. In section 32, we make one application showing some of the influence of the homology of the total space on the Whitney classes of normal bundl
pericardium
发表于 2025-3-28 09:05:54
,The structure of Ω*(,,), , an odd prime,. is a fixed point free orientation preserving diffeomorphism of period . on the closed oriented manifold ... The bordism spectral sequence of .(..) is trivial, and this gives the order of the reduced groups .. To obtain the precise structure is harder. It is solved here by geometric methods using c
boisterous
发表于 2025-3-28 12:46:27
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