Algebraic Topology

Name: Algebraic Topology
Brand: CRC Press

CRC Press

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