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The Resource Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource)
Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource)
Resource Information
The item Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 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 wellknown 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 indepth look at differential forms and de Tham’s theorem on simplical complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fullyrevised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory
 Language
 eng
 Edition
 2nd ed. 2013.
 Extent
 XI, 227 p. 46 illus.
 Contents

 1 Introduction
 2 Basic Concepts
 3 CW Homology Theorem
 4 The Whitehead Theorem and the Hurewicz Theorem. 5 Spectral Sequence of a Fibration
 6 Obstruction Theory
 7 EilenbergMacLane Spaces, Cohomology, and Principal Fibrations
 8 Postnikov Towers and Rational Homotopy Theory
 9 deRham's theorem for simplicial complexes
 10 Differential Graded Algebras
 11 Homotopy Theory of DGAs
 12 DGAs and Rational Homotopy Theory
 13 The Fundamental Group
 14 Examples and Computations
 15 Functorality
 16 The Hirsch Lemma
 17 Quillen's work on Rational Homotopy Theory
 18 A1structures and C1structures
 19 Exercises
 Isbn
 9781461484684
 Label
 Rational Homotopy Theory and Differential Forms
 Title
 Rational Homotopy Theory and Differential Forms
 Statement of responsibility
 by Phillip Griffiths, John Morgan
 Language
 eng
 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 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 wellknown 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 indepth look at differential forms and de Tham’s theorem on simplical complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fullyrevised appendices including an expanded discussion of the Hirsch lemma *Presentation of a natural proof of a Serre spectral sequence result *Updated content throughout the book, reflecting advances in the area of homotopy theory With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory
 http://library.link/vocab/creatorName
 Griffiths, Phillip
 Image bit depth
 0
 LC call number
 QA612612.8
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Morgan, John.
 SpringerLink
 Series statement
 Progress in Mathematics,
 Series volume
 16
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Topology
 Algebraic topology
 Mathematics
 Algebraic Topology
 Category Theory, Homological Algebra
 Commutative Rings and Algebras
 Topology
 Algebra
 Label
 Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Introduction  2 Basic Concepts  3 CW Homology Theorem  4 The Whitehead Theorem and the Hurewicz Theorem. 5 Spectral Sequence of a Fibration  6 Obstruction Theory  7 EilenbergMacLane Spaces, Cohomology, and Principal Fibrations  8 Postnikov Towers and Rational Homotopy Theory  9 deRham's theorem for simplicial complexes  10 Differential Graded Algebras  11 Homotopy Theory of DGAs  12 DGAs and Rational Homotopy Theory  13 The Fundamental Group  14 Examples and Computations  15 Functorality  16 The Hirsch Lemma  17 Quillen's work on Rational Homotopy Theory  18 A1structures and C1structures  19 Exercises
 Dimensions
 unknown
 Edition
 2nd ed. 2013.
 Extent
 XI, 227 p. 46 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461484684
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461484684
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461484684
 Label
 Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 Introduction  2 Basic Concepts  3 CW Homology Theorem  4 The Whitehead Theorem and the Hurewicz Theorem. 5 Spectral Sequence of a Fibration  6 Obstruction Theory  7 EilenbergMacLane Spaces, Cohomology, and Principal Fibrations  8 Postnikov Towers and Rational Homotopy Theory  9 deRham's theorem for simplicial complexes  10 Differential Graded Algebras  11 Homotopy Theory of DGAs  12 DGAs and Rational Homotopy Theory  13 The Fundamental Group  14 Examples and Computations  15 Functorality  16 The Hirsch Lemma  17 Quillen's work on Rational Homotopy Theory  18 A1structures and C1structures  19 Exercises
 Dimensions
 unknown
 Edition
 2nd ed. 2013.
 Extent
 XI, 227 p. 46 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781461484684
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461484684
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781461484684
Subject
 Algebra
 Algebra
 Algebra
 Algebraic Topology
 Algebraic Topology
 Algebraic Topology
 Algebraic topology
 Algebraic topology
 Algebraic topology
 Category Theory, Homological Algebra
 Commutative Rings and Algebras
 Electronic resources
 Mathematics
 Mathematics
 Mathematics
 Topology
 Topology
 Topology
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/RationalHomotopyTheoryandDifferentialForms/XFTEP8gV5zY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/RationalHomotopyTheoryandDifferentialForms/XFTEP8gV5zY/">Rational Homotopy Theory and Differential Forms, by Phillip Griffiths, John Morgan, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>