## Lectures on Algebraic TopologySpringer is reissuing a selected few highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. Springer-Verlag began publishing books in higher mathematics in 1920. This is a reprint of the Second Edition. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Chapter | 1 |

Abelian Groups Exactness Direct Sums Free Abelian Groups | 7 |

Homotopy | 13 |

Copyright | |

66 other sections not shown

### Other editions - View all

### Common terms and phrases

abelian group additive agrees algebra apply arbitrary assertion assume base boundary called cells chain map choose Clearly closed coefficients commutative compact complex composite connected consider consists contained continuous Corollary covering define Definition deformation denote depends diagram dimension elements exact sequence example excisive Exerc Exercises exists extension fact finite fixed follows formula functions functor given gives graded hence holds homology homology class homomorphism identifying implies inclusion induces instance intersection isomorphic Lemma limit linear locally manifold modules morphism multiplication natural neighborhood neighborhood retract obtained open set oriented pairs particular projective Proof properties Proposition prove R-Mod R-module Remark representative resp result ring Similarly simplicial space subset takes theorem topological transformation unique universal vertices write zero