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吳文俊全集·拓撲學卷IV

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吳文俊全集·拓撲學卷IV》,吳文俊 著,出版社: 科學出版社[1]

目錄

內容簡介

本卷收錄了吳文俊在拓撲學[2]領域發表的56篇學術論文,這些論文包含了吳文俊在示性類、示嵌類、示浸類、示痕類、能計算性與I*-量度等方面做出的一系列重要工作,蘊含了他在拓撲學領域的諸多原始思想。

目錄

1.Topologie-NoteSurlesProduitsEssentielsSymetriquesdesEspacesTopologiques1

2.OntheProductofSphereBundlesandtheDualityTheoremModuloTwo4

3.Topologie-SurL』existenceD,unChampDlementsdeContactOnDuneStructureComplexeSurUneSphere19

4.Topologie-SturLesClassesCaracteristiquesD,unEspaceFibreEnSpheres22

5.Topologie-SurLeSecondObstacleD,unChampDElementsdeContactDansUneStructureFibreeSpherique25

6.Topologie-SurLaStructurePresqueComplexeD5uneVarieteDifferentiableReelledeDimension428

7.Topologie-SurLaStructurePresqueComplexeD,uneVarieteDifferentiableReelle31

8.TopologieAlgebrique-ClassesCaracteristiquesEtI-carresD5uneVariete33

9.TopologieAlgebrique-Lesi-carresDansUneVarieteGrassmannienne36

10.SurlesPuissancesdeSteenrod39

11.有限可剖分空間的新拓撲不變量49

12.OnPontrjaginClasses177

13.OnSquaresinGrassmannianManifolds91

14.「格拉斯曼」流形中的平方運算114

15.一個H.Hopf推測的證明136

16.論IIOHTPrHH示性類II145

17.論IIOHTPrHH示性類III170

18.論IIOHTPrHH示性類IV189

19.論IIOHTPrHH示性類V215

20.OntheRealizationofComplexesinEuclideanSpacesI225

21.OntheImbeddingofPolyhedronsinEuclideanSpaces276

22.OntheRealizationofComplexesinEuclideanSpacesII281

23.OntheClassesofaTopologicalSpace307

24.OntheRelationsbetweenSmithOperationsandSteenrodPowers312

25.OntheRealizationofComplexesinEuclideanSpacesIII321

26.OntheReducedProductsandtheReducedCyclicProductsofaSpace339

27.OntheDimensionofaNormalSpacewithCountableBasis350

28.OntheIsotopyof(7r-MaiiifoldsofDimensionninEuclidean(2n+1)-Space355

29.OntheRealizationofComplexesinEuclideanSpacesII360

30.OntheIsotopyofComplexesinaEuclideanSpaceI386

31.TopologieCombinatoireEtInvariantsCombinatoires414

32.OnCertainInvariantsofCell-Bundles422

33.OntheIsotopyofaFiniteComplexinaEuclideanSpace1428

34.OntheIsotopyofaFiniteComplexinaEuclideanSpaceII434

35.關於Leray的一個定理438

36.某些實二次曲面的示性類449

37.OntheImbeddingofOrientableManifoldsinaEuclideanSpace464

38.歐氏空間中的旋轉473

39.ATheoremonImmersion475

40.OntheImmersionofManifoldsinaEuclideanSpace477

41.OntheNotionofImbeddingClasses480

42.OntheImbeddingofManifoldsinaEuclideanSpace(l)483

43.OnComplexAnalyticCyclesandTheirRealTraces486

44.OnCriticalSectionsofConvexBodies498

45.Sk型奇點所屬的同調類507

46.OnUniversalInvariantForms520

47.代數拓撲的一個新函子536

48.代數拓撲I*函子論——齊性空間的實拓撲539

49.代數拓撲I*函子論——纖維方的實拓撲553

50.TheoryofI*-FunctorinAlgebraicTopology-EffectiveCalculationandAxiomatizationof7*-FunctoronComplexes574

51.TheoryofI*-FunctorinAlgebraicTopology-7*-PunctorofaFiberSpace597

52.OnCalculabilityof7*-MeasurewithRespecttoComplex-UnionandOtherRelatedConstructions618

53.deRham-SullivanMeasureofSpacesandItsCalculability623

54.AConstructiveTheoryofAlgebraicTopology-PartI.NotionsofMeasureandCalculability543

55.DeRhamTheoremfromConstructivePointofView663

56.SomeRemarksonJet-Transformations685

參考文獻

  1. 公司簡介,中國科技出版傳媒股份有限公司
  2. 聊聊拓撲學!,搜狐,2023-05-08