## Stable Homotopy Theory |

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### Contents

Introduction | 1 |

Stable homotopy theory Construction | 24 |

Applications of homological algebra | 38 |

Copyright | |

2 other sections not shown

### Common terms and phrases

A-map admissible monomials apply Cartan formula chain complex classes of maps coefficients cohomology class cohomology operations comparison theorem composition series computation consider convergence correspondence cup-product define diagonal map differentials dimension Eckmann Eilenberg Eilenberg-MacLane object Eilenberg-MacLane space elements of odd equivalent exact sequences fact fibering finite following diagram function give given a map graded algebra hare homological algebra homology homomorphism homotopy classes Hopf algebra induction isomorphically by f J-homomorphism linearly independent little Borel theorem Manuskripte map f map g Map X,Y mapped isomorphically Milnor module monomorphism morphisms odd torsion group pair X,Y periodicity polynomial algebra prove question quotient realization recall Remark resolution S-theory spectral sequence Sq Sq stable complex stable homotopy theory stable objects stable primary operations Steenrod algebra Steenrod square Suppose given suspension tortoise UfCX universal examples values vector fields