Lectures On Algebraic Topology

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A01=Haynes R Miller
Adjoint Pair
Alexander-Whitney Map
Author_Haynes R Miller
Category
Category=PBPD
Chain Complex
Characteristic Class
Chern Class
Classifying Space
Cobordism
Cofibration
Cohomology
Colimit
Cross Product
Cup Product
CW Complex
Eilenberg Mac Lane Space
Eilenberg-Steenrod Axioms
Eilenberg-Zilber Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler Characteristic
Exact Couple
Excision
Fiber Bundle
Fibration
Freudenthal Suspension Theorem
Functor
Gysin Sequence
Homological Algebra
Homology
Homotopy Equivalence
Homotopy Fiber
Homotopy Group
Hopf Algebra
Hurewicz Theorem
KAfA 1/4 nneth Theorem
Künneth Theorem
Limit
Manifold
Mapping Cone
Natural Transformation
Obstruction Theory
Orientation
PoincarAfA(C) Duality
Poincaré Duality
Pontryagin Class
Postnikov System
Principal Bundle
Projective Space
Relative Homology
Serre Class
Serre Spectral Sequence
Signature Theorem
Simplicial Set
Singular Homology
Spectral Sequence
Steenrod Operation
Stiefel-Whitney Class
Tensor Product
Thom Class
Thom Space
Vector Bundle
Weak Equivalence
Whitehead's Theorem

Product details

  • ISBN 9789811232855
  • Publication Date: 07 Oct 2021
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
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Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.