Algebraic Topology

A First Course
1. Auflage 1981
ISBN: 978-0-8053-3557-6
Verlag: CRC Press

Buch, Englisch, 332 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 482 g

Great first book on algebraic topology. Introduces (co)homology through singular theory.

Autoren/Hrsg.

Greenberg, Marvin J.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

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

Über Autor(innen)

Marvin J Greenberg