吴文俊全集·拓扑学卷IV

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。

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

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