Marvin J. Greenberg: Algebraic Topology

Cover: 9780805335576 | Algebraic Topology | A First Course | Marvin J. Greenberg | Buch

Rückseite: 9780805335576 | Algebraic Topology | A First Course | Marvin J. Greenberg | Buch

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Sprache: Englisch

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Beschreibung

Elementary Homotopy TheoryHomotopy of PathsHomotopy of MapsFundamental Group of the CircleCovering SpacesA Lifting CriterionLoop Spaces and Higher Homotopy Groups Singular Homology TheoryAffine PreliminariesSingluar TheoryRelation Between (( and H1Relative HomologyThe Exact Homology SequenceThe Excision TheoremFurther Applications to SpheresMayer-Vietoris SequenceThe Jordan-Brouwer Separation TheoremConstruction of Spaces: Spherical ComplexesBetti Numbers and Euler CharacteristicConstruction of Spaces: Cell Complexes and More Adjunction Spaces Orientation and Duality on ManifoldsOrientation of ManifoldsSingular CohomologyCup and Cap ProductsAlgebraic LimitsPoincar DualityAlexander DualityLefschetz Duality Products and Lefschetz Fixed Point TheoremProductsThom Class and Lefschetz Fixed Point TheoremIntersection Numbers and Cup Products

Über den Autor

Marvin J Greenberg

Inhaltsverzeichnis

Preface , Elementary Homotopy Theory , Introduction to Part I , Arrangement of Part I , Homotopy of Paths , Homotopy of Maps , Fundamental Group of the Circle , Covering Spaces , A Lifting Criterion , Loop Spaces and Higher Homotopy Groups , Singular Homology Theory , Introduction to Part II , Affine Preliminaries , Singular Theory , Chain Complexes , Homotopy Invariance of Homology , Relation Between ? 1 and H 1 , Relative Homology , The Exact Homology Sequence , The Excision Theorem , Further Applications to Spheres , Mayer-Vietoris Sequence , The Jordan-Brouwer Separation Theorem , Construction of Spaces: Spherical Complexes , Betti Numbers and Euler Characteristic , Construction of Spaces: Cell Complexes and more Adjunction Spaces , Orientation and Duality on Manifolds , Introduction to Part III , Orientation of Manifolds , Singular Cohomology , Cup and Cap Products , Algebraic Limits , Poincaré Duality , Alexander Duality , Lefschetz Duality , Products and Lefschetz Fixed Point Theorem , Introduction to Part IV , Products , Thom Class and Lefschetz Fixed Point Theorem , Intersection numbers and cup products. , Table of Symbols

Details

Erscheinungsjahr:	1981
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
ISBN-13:	9780805335576
ISBN-10:	0805335579
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Greenberg, Marvin J.
Hersteller:	CRC Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 18 mm
Von/Mit:	Marvin J. Greenberg
Erscheinungsdatum:	22.01.1981
Gewicht:	0,482 kg