5 edition of **Lectures on the Eilenberg-Moore spectral sequence.** found in the catalog.

- 128 Want to read
- 11 Currently reading

Published
**1970**
by Springer-Verlag in Berlin, New York
.

Written in English

- Eilenberg-Moore spectral sequences.

**Edition Notes**

Bibliography: p. [139]-142.

Series | Lecture notes in mathematics, 134, Lecture notes in mathematics (Springer-Verlag) ;, 134. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 134 |

The Physical Object | |

Pagination | vi, 142 p. |

Number of Pages | 142 |

ID Numbers | |

Open Library | OL5756819M |

LC Control Number | 71121060 |

Spectral Sequences in Algebraic Topology. This note explains the following topics: Introduction to the Serre spectral sequence, with a number of applications, mostly fairly standard, The Adams spectral sequence, Eilenberg-Moore spectral sequences. Author(s): Allen Hatcher. The mod A Eilenberg-Moore spectral sequence of p cotverges strongly to H,(F, A) ifand oni,v if z,(B) acts nilpotently on H,(F, A) for each i 2 0. This statement has to be explained. First of all, the theorem refers to the general “ Eilenberg-Moore ” spectral sequence .

Free 2-day shipping. Buy Lecture Notes in Mathematics: Lectures on the Eilenberg-Moore Spectral Sequence (Paperback) at The original de Rham cohomology due to Souriau and the singular cohomology in diffeology are not isomorphic to each other in general. This manuscript introduces a singular de Rham complex endowed with an integration map into the singular cochain complex which gives the de Rham theorem for every diffeological space. It is also proved that a morphism called the factor map from the original de.

The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The Eilenberg-Moore spectral sequence for K-theory; applications to p-compact homogeneous spaces A. Jeanneret & A. Osse Abstract We construct the Eilenberg-Moore spectral sequence for some gen-eralized cohomology theories, along the lines of Smith and Hodgkin. We prove its multiplicativity and give some su cient conditions for.

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: Lectures on the Eilenberg-Moore Spectral Sequence (Lecture Notes in Mathematics ()) (): Smith, Larry: BooksCited by: Lectures on the Eilenberg-Moore spectral sequence. Berlin, New York, Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: L Smith.

Lectures on the Eilenberg-Moore Spectral Sequence It seems that you're in USA. We have a dedicated The Eilenberg-Moore spectral sequence as a kunneth spectralsSequence. Pages Smith, Larry *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not. Lectures on the Eilenberg-Moore Spectral Sequence | Larry Smith | download | B–OK. Download books for free.

Find books. Lectures on the Eilenberg-Moore Spectral Sequence. Authors; Larry Smith; Book. 23 Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Instant download; Readable on all devices; Own it forever; Local sales tax included if applicable; Buy Physical Book.

Buy Lectures on the Eilenberg-Moore Spectral Sequence by Smith, Larry online on at best prices. Fast and free shipping free returns cash on delivery available on eligible : Larry Smith.

The Eilenberg−Moore spectral sequence is a device which allows the computation of the (co)homology of the fiber product in certain situations. Statement [ edit ] The Eilenberg−Moore spectral sequences generalizes the above isomorphism to the situation where p is a fibration of topological spaces and the base B is simply connected.

Buy Lectures on the Eilenberg-Moore Spectral Sequence (Lecture Notes in Mathematics) by Smith, Larry (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. (ebook) Lectures on the Eilenberg-Moore Spectral Sequence () from Dymocks online store. We are open, in-store and online.

Some orders may experience a. Idea. The Eilenberg-Moore spectral sequence is a spectral sequence for the singular homology of product topological spaces which generalizes the Künneth theorem in two ways.

it applies without assumption on vanishing of Tor-groups. it generalizes from product topological spaces to fiber products of fibrations and to products over group actions.

References. Buy Lectures on the Eilenberg-Moore Spectral Sequence by L Smith (ISBN:) from Amazon's Book Store. Everyday low prices and free delivery on eligible : L Smith. THE EILENBERG-MOORE SPECTRAL SEQUENCE 59 developed in §3 below is due to Eilenberg-Moore [6] and is a natural outgrowth of the work in [13].

We will begin by reviewing the requisite homological algebra to construct this spectral sequence. Applications to topology will appear in the second part. (See also [2], [6], [17].) 1. Get this from a library. Lectures on the Eilenberg-Moore spectral sequence.

[Larry Smith]. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence.

The last part of the book treats applications throughout mathematics, including 5/5(1). Steenrod operations in the Eilenberg-Moore spectral sequence David L. Rector 1, 2 Commentarii Mathematici Helvetici vol pages – () Cite this article.

5.A. Whitehead's Exact Sequence [a nice application of exact couples] 5.B. The Bockstein Spectral Sequence [not yet included] 5.C. The Mayer-Vietoris Spectral Sequence [not yet included] 5.D.

The EHP Spectral Sequence. 5.E. Eilenberg-Moore Spectral Sequences [following the geometric constructions due to Larry Smith and Luke Hodgkin, without any. Buy Lectures on the Eilenberg-Moore Spectral Sequence by Larry Smith from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £ Lectures on the Eilenberg-Moore Spectral Sequence [L Smith] on *FREE* shipping on qualifying offers.

Let Z be a path connected H-space with H∗(Z;Zp) concentrated in even degrees. Then the Eilenberg–Moore spectral sequences associated to the path loop. The EHP Sequence 5.E. Eilenberg-Moore Spectral Sequences One can think of a spectral sequence as a book consisting of a sequence of pages, each of which is a two-dimensional array of abelian groups.

On each page there are maps between the groups, and these maps form chain complexes. The homology. ON THE EILENBERG-MOORE SPECTRAL SEQUENCE FOR GENERALIZED COHOMOLOGY THEORIES TILMAN BAUER ABSTRACT. We prove that the Morava-K-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a p-local ﬁnite Postnikov system with vanishing (n+1)st homotopy group.

1.Lectures on the Eilenberg-Moore Spectral Sequence (Lecture Notes in Mathematics series) by Larry Smith.The heart of the book is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence.

The last part of the book treats applications throughout mathematics, including.