Lectures On Algebraic Topology

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A01=Haynes R Miller
Adjoint Pair
Age Group_Uncategorized
Age Group_Uncategorized
Alexander-Whitney Map
Author_Haynes R Miller
automatic-update
Category
Category1=Non-Fiction
Category=PBPD
Chain Complex
Characteristic Class
Chern Class
Classifying Space
Cobordism
Cofibration
Cohomology
Colimit
COP=Singapore
Cross Product
Cup Product
CW Complex
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Eilenberg Mac Lane Space
Eilenberg-Steenrod Axioms
Eilenberg-Zilber Theorem
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
Kunneth Theorem
Künneth Theorem
Language_English
Limit
Manifold
Mapping Cone
Natural Transformation
Obstruction Theory
Orientation
PA=Available
PoincarAfA(C) Duality
Poincare Duality
Poincaré Duality
Pontryagin Class
Postnikov System
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Principal Bundle
Projective Space
PS=Active
Relative Homology
Serre Class
Serre Spectral Sequence
Signature Theorem
Simplicial Set
Singular Homology
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Spectral Sequence
Steenrod Operation
Stiefel-Whitney Class
Tensor Product
Thom Class
Thom Space
Vector Bundle
Weak Equivalence
Whitehead's Theorem

Product details

  • ISBN 9789811231247
  • Publication Date: 07 Oct 2021
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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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.

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