## Handbook of Algebraic TopologyAlgebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics. |

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Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and ... Paul Gregory Goerss,Stewart Priddy No preview available - 2004 |

### Contents

73 | |

Chapter 3 Proper homotopy theory | 127 |

Chapter 4 Introduction to fibrewise homotopy theory | 169 |

Chapter 5 Coherent homotopy over a fixed space | 195 |

Chapter 6 Modem foundations for stable homotopy theory | 213 |

Chapter 7 Completions in algebra and topology | 255 |

Chapter 8 Equivariant stable homotopy theory | 277 |

Chapter 9 The stable homotopy theory of finite complexes | 325 |

Chapter 16 Differential graded algebras in topology | 829 |

Chapter 17 Real and rational homotopy theory | 867 |

Chapter 18 Cohomology of groups | 917 |

Chapter 19 Homotopy theory of Lie groups | 951 |

Chapter 20 Computing v1periodic homotopy groups of spheres and some compact Lie groups | 993 |

1049 | |

Chapter 22 Hspaces with finiteness conditions | 1095 |

Chapter 23 CoHspaces | 1143 |

Chapter 10 The EHP sequence and periodic homotopy | 397 |

Chapter 11 Introduction to nonconnective ImJtheory | 425 |

Chapter 12 Applications of nonconnective Im Jtheory | 463 |

Chapter 13 Stable homotopy and iterated loop spaces | 505 |

Chapter 14 Stable operations in generalized cohomology | 585 |

Chapter 15 Unstable operations in generalized cohomology | 687 |

Chapter 24 Fibration and product decompositions in nonstable homotopy theory | 1175 |

Chapter 25 Phantom maps | 1209 |

1259 | |

1293 | |

1311 | |

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### References to this book

### References from web pages

sciencedirect - Handbook of Algebraic Topology Home Page

sciencedirect - the world's leading platform offers over 2000 high quality peer-reviewed full-text journals and books on science, technology and medicine

www.science-direct.com/ science/ book/ 9780444817792

55: Algebraic topology

An excellent description of the state of the art: "Handbook of algebraic topology", edited by im James. North-Holland, Amsterdam, 1995. 1324 pp. ...

www.math.niu.edu/ ~rusin/ known-math/ index/ 55-XX.html

jp May References

Handbook of Algebraic Topology, edited by im James, pp. 217-257. North Holland. 1995. [80] (with jpc Greenlees) Completions in algebra and topology. ...

www.math.uchicago.edu/ ~may/ Bibliography.pdf

STABLE ALGEBRAIC TOPOLOGY AND STABLE TOPOLOGICAL ALGEBRA

theory’, Handbook of algebraic topology (ed. im James, North-Holland, Amsterdam, 1995). 217–257. 11. A. E, I. K, ma M and ...

journals.cambridge.org/ production/ action/ cjoGetFulltext?fulltextid=19124

Algebraic & Geometric Topology, Volume 6 (2006)

Y Félix, S Halperin, jc Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology", North-Holland, Amsterdam (1995) 829–865 ...

www.msp.warwick.ac.uk/ agt/ 2006/ 06/ b004.html

jf Adams, jf Adams, jf Adams, A. Adem rj Milgram, M. Aigner G **...**

ed., Handbook of Algebraic Topology, North-Holland, 1995. im James, .... Handbook of Algebraic Topology, ed. im James, Elsevier 1995. J. Davis ...

www.math.cornell.edu/ ~hatcher/ AT/ ATbib-ind.pdf

Bulletin of the London Mathematical Society 31:3

homotopy theory’, Handbook of algebraic topology (ed. im James, North-Holland, Amsterdam,. 1995) 213–253. 5. ad Elmendorf and jp May, ‘Algebras over ...

blms.oxfordjournals.org/ cgi/ reprint/ 31/ 3/ 370.pdf

Proceedings of the American Mathematical Society

jm Boardman, Stable operations in generalized cohomology, In im James, editor, The Handbook of Algebraic Topology, chapter 14, 585-686. Elsevier, 1995. ...

www.ams.org/ proc/ 2002-130-05/ S0002-9939-01-06374-2/ home.html

Springer Online Reference Works

Handbook of Algebraic Topology , Elsevier (1995) pp. 325–396. [a4], jpc Greenlees, jp May, "Equivariant stable homotopy theory" im James (ed. ...

eom.springer.de/ S/ s130440.htm

Hunton: The complex oriented cohomology of extended powers

[4] ad ELMENDORF, I. KRIZ, ma MANDELL, jp MAY, Modern foundations for stable homotopy theory, Handbook of Algebraic Topology, editor im James, ...

www.numdam.org/ numdam-bin/ fitem?id=AIF_1998__48_2_517_0