skip to content
Rational homotopy theory and differential forms Preview this item
ClosePreview this item
Checking...

Rational homotopy theory and differential forms

Author: Phillip Griffiths; John Morgan
Publisher: New York : Birkhäuser, 2013.
Series: Progress in mathematics (Boston, Mass.), volume 16.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Database:WorldCat
Summary:
Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Griffiths, Phillip, 1938- author.
Rational homotopy theory and differential forms.
(OCoLC)857524732
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Phillip Griffiths; John Morgan
ISBN: 9781461484684 1461484685 1461484677
OCLC Number: 861184041
Description: 1 online resource.
Contents: Basic Concepts --
CW Homology Theorem --
The Whitehead Theorem and the Hurewicz Theorem --
Spectral Sequence of a Fibration --
Obstruction Theory --
Eilenberg-MacLane Spaces, Cohomology, and Principal Fibrations --
Postnikov Towers and Rational Homotopy Theory --
deRham's Theorem for Simplicial Complexes --
Differential Graded Algebras --
Homotopy Theory of DGAs --
DGAs and Rational Homotopy Theory --
The Fundamental Group --
Examples and Computations --
Functorality --
The Hirsch Lemma --
Quillen's Work on Rational Homotopy Theory --
A [infinity] -Structures and C [infinity] -Structures --
Exercises.
Series Title: Progress in mathematics (Boston, Mass.), volume 16.
Responsibility: Phillip Griffiths, John Morgan.

Abstract:

Rational Homotopy Theory and Differential Forms  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the book reviews: "This book is a second, augmented version of one of the famous books on rational homotopy. ... The topological intuition throughout the book, the recollections of the necessary Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/861184041> # Rational homotopy theory and differential forms
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "861184041" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/566454#Topic/homology> ; # Homology
    schema:about <http://id.worldcat.org/fast/959852> ; # Homotopy theory
    schema:about <http://experiment.worldcat.org/entity/work/data/566454#Topic/mathematics_topology> ; # MATHEMATICS / Topology
    schema:about <http://id.worldcat.org/fast/893491> ; # Differential forms
    schema:about <http://dewey.info/class/514.24/e23/> ;
    schema:author <http://viaf.org/viaf/108683308> ; # John Morgan
    schema:author <http://viaf.org/viaf/36979301> ; # Phillip Griffiths
    schema:bookEdition "Second edition." ;
    schema:bookFormat schema:EBook ;
    schema:datePublished "2013" ;
    schema:description "Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/566454> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/566454#Series/progress_in_mathematics> ; # Progress in mathematics ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/566454#Series/progress_in_mathematics_boston_mass> ; # Progress in mathematics (Boston, Mass.) ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/857524732> ;
    schema:name "Rational homotopy theory and differential forms"@en ;
    schema:productID "861184041" ;
    schema:url <http://dx.doi.org/10.1007/978-1-4614-8468-4> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=1466360> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=645931> ;
    schema:workExample <http://worldcat.org/isbn/9781461484684> ;
    schema:workExample <http://dx.doi.org/10.1007/978-1-4614-8468-4> ;
    schema:workExample <http://worldcat.org/isbn/9781461484677> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/861184041> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/566454#Series/progress_in_mathematics> # Progress in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/861184041> ; # Rational homotopy theory and differential forms
    schema:name "Progress in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/566454#Series/progress_in_mathematics_boston_mass> # Progress in mathematics (Boston, Mass.) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/861184041> ; # Rational homotopy theory and differential forms
    schema:name "Progress in mathematics (Boston, Mass.) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/566454#Topic/mathematics_topology> # MATHEMATICS / Topology
    a schema:Intangible ;
    schema:name "MATHEMATICS / Topology"@en ;
    .

<http://id.worldcat.org/fast/893491> # Differential forms
    a schema:Intangible ;
    schema:name "Differential forms"@en ;
    .

<http://id.worldcat.org/fast/959852> # Homotopy theory
    a schema:Intangible ;
    schema:name "Homotopy theory"@en ;
    .

<http://viaf.org/viaf/108683308> # John Morgan
    a schema:Person ;
    schema:birthDate "1946 March 21" ;
    schema:familyName "Morgan" ;
    schema:givenName "John" ;
    schema:name "John Morgan" ;
    .

<http://viaf.org/viaf/36979301> # Phillip Griffiths
    a schema:Person ;
    schema:birthDate "1938" ;
    schema:familyName "Griffiths" ;
    schema:givenName "Phillip" ;
    schema:name "Phillip Griffiths" ;
    .

<http://worldcat.org/isbn/9781461484677>
    a schema:ProductModel ;
    schema:isbn "1461484677" ;
    schema:isbn "9781461484677" ;
    .

<http://worldcat.org/isbn/9781461484684>
    a schema:ProductModel ;
    schema:description "electronic bk." ;
    schema:isbn "1461484685" ;
    schema:isbn "9781461484684" ;
    .

<http://www.worldcat.org/oclc/857524732>
    a schema:CreativeWork ;
    rdfs:label "Rational homotopy theory and differential forms." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/861184041> ; # Rational homotopy theory and differential forms
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.