LECTURES ON ALGEBRAIC TOPOLOGY

LECTURES ON ALGEBRAIC TOPOLOGY By HAYNES MILLER Published by World Scientific Publishing Company Publication Date: 2021-10-01 Subject: Mathematics Geometry Algebraic, Mathematics Geometry General, Mathematics Topology, Mathematics Geometry - Algebraic, Mathematics Topology - General, Algebraic Topology, Mathematics Geometry Algebraic, Mathematics, Geometry, Algebraic Subject Keywords: Homology; Singular Homology; Chain Complex; Cohomology; Cup Product; Relative Homology; CW Complex; Category; Functor; Natural Transformation; Manifold; Excision; Eilenberg-Steenrod Axioms; Cross Product; Eilenberg-Zilber Theorem; Alexander-Whitney Map; Projective Space; Euler Characteristic; Tensor Product; Homological Algebra; Limit; Colimit; Adjoint Pair; Homotopy Equivalence; Homotopy Group; Fiber Bundle; Fibration; Cofibration; Homotopy Fiber; Mapping Cone; Weak Equivalence; Whitehead's Theorem; Hurewicz Theorem; Gysin Sequence; Postnikov System; Eilenberg Mac Lane Space; Obstruction Theory; Vector Bundle; Principal Bundle; Classifying Space; Characteristic Class; Stiefel-Whitney Class; Chern Class; Pontryagin Class; Simplicial Set; Spectral Sequence; Serre Spectral Sequence; Exact Couple; Serre Class; Freudenthal Suspension Theorem; Thom Space; Thom Class; Orientation; Steenrod Operation; Cobordism; Hopf Algebra; Signature Theorem; Poincaré Duality; Künneth Theorem Genre: Mathematics, Geometry, Algebraic Target Audience: A Read for the Modern Generation