吴文俊全集 拓扑学卷 4
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作者吴文俊
出版社龙门书局
ISBN9787508855493
出版时间2019-05
装帧精装
开本16开
定价298元
货号1201984624
上书时间2024-08-06
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目录
1.Topologie-Note Surles Produits Essentiels Symetriques des Espaces Topologiques 1
2.On the Product of Sphere Bundles and the Duality Theorem Modulo Two 4
3.Topologie-Sur L’existence D，un Champ Dlements de Contact On Dune Structure Complexe Sur Une Sphere 19
4.Topologie-Stur Les Classes Caracteristiques D，un Espace Fibre En Spheres 22
5.Topologie-Sur Le Second Obstacle D，un Champ DElements de Contact Dans Une Structure Fibree Spherique 25
6.Topologie-Sur La Structure Presque Complexe D5une Variete Differentiable Reelle de Dimension 4 28
7.Topologie-Sur La Structure Presque Complexe D，une Variete Differentiable Reelle 31
8.Topologie Algebrique-Classes Caracteristiques Et I-carres D5une Variete 33
9.Topologie Algebrique-Les i-carres Dans Une Variete Grassmannienne 36
10.Sur les Puissances de Steenrod 39
11.有限可剖分空间的新拓扑不变量 49
12.On Pontrjagin Classes 1 77
13.On Squares in Grassmannian Manifolds 91
14.“格拉斯曼”流形中的平方运算 114
15.一个H.Hopf推测的证明 136
16.论IIOHTPrHH示性类 II 145
17.论IIOHTPrHH示性类 III 170
18.论IIOHTPrHH示性类 IV 189
19.论IIOHTPrHH示性类 V 215
20.On the Realization of Complexes in Euclidean Spaces I 225
21.On the Imbedding of Polyhedrons in Euclidean Spaces 276
22.On the Realization of Complexes in Euclidean Spaces II 281
23.On the Classes of a Topological Space 307
24.On the Relations between Smith Operations and Steenrod Powers 312
25.On the Realization of Complexes in Euclidean Spaces III 321
26.On the Reduced Products and the Reduced Cyclic Products of a Space 339
27.On the Dimension of a Normal Space with Countable Basis 350
28.On the Isotopy of (7r-Maiiifolds of Dimension n in Euclidean (2n+1)-Space 355
29.On the Realization of Complexes in Euclidean Spaces II 360
30.On the Isotopy of Complexes in a Euclidean Space I 386
31.Topologie Combinatoire Et Invariants Combinatoires 414
32.On Certain Invariants of Cell-Bundles 422
33.On the Isotopy of a Finite Complex in a Euclidean Space 1 428
34.On the Isotopy of a Finite Complex in a Euclidean Space II 434
35.关于Leray的一个定理 438
36.某些实二次曲面的示性类 449
37.On the Imbedding of Orientable Manifolds in a Euclidean Space 464
38.欧氏空间中的旋转 473
39.A Theorem on Immersion 475
40.On the Immersion of Manifolds in a Euclidean Space 477
41.On the Notion of Imbedding Classes 480
42.On the Imbedding of Manifolds in a Euclidean Space(l) 483
43.On Complex Analytic Cycles and Their Real Traces 486
44.On Critical Sections of Convex Bodies 498
45.Sk型奇点所属的同调类 507
46.On Universal Invariant Forms 520
47.代数拓扑的一个新函子 536
48.代数拓扑I*函子论——齐性空间的实拓扑 539
49.代数拓扑I*函子论——纤维方的实拓扑 553
50.Theory of I*-Functor in Algebraic Topology-Effective Calculation and Axiomatization of 7*-Functor on Complexes 574
51.Theory of I*-Functor in Algebraic Topology-7*-Punctor of a Fiber Space 597
52.On Calculability of 7*-Measure with Respect to Complex-Union and Other Related Constructions 618
53.de Rham-Sullivan Measure of Spaces and Its Calculability 623
54.A Constructive Theory of Algebraic Topology-Part I.Notions of Measure and Calculability 543
55.De Rham Theorem from Constructive Point of View 663
56.Some Remarks on Jet-Transformations 685
内容摘要
本卷收录了吴文俊在拓扑学领域发表的56篇学术论文。这些论文包含了吴文俊在示性类、示嵌类、示浸类、示痕类、能计算性与I*-量度等方面做出的一系列重要工作，蕴含了他在拓扑学领域的诸多原始思想。该卷可作为数学或数学史研究人员、教师、研究生的参考文献，也可以作为拓扑学课程的参考书。
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