On Pl Derham Theory And Rational Homotopy Type PDF Download
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Author | : Aldridge Knight Bousfield |
Publisher | : American Mathematical Soc. |
Total Pages | : 108 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : 0821821792 |
Download On PL DeRham Theory and Rational Homotopy Type Book in PDF, ePub and Kindle
The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic 0, a pair of contravariant adjoint functors A : (Simplicial sets) [right arrow over left arrow] (Commutative DG k-algebras) : F is obtained which pass to the appropriate homotopy categories. When k is the field of rationals, these functors induce equivalence between the appropriate simplicial and algebraic rational homotopy categories. The theory is not restricted to simply connected spaces. It is closely related to the theory of "rational localization" (for nilpotent spaces) and "rational completion" in general.
Author | : Aldridge Knight Bousfield |
Publisher | : |
Total Pages | : 94 |
Release | : 1976 |
Genre | : Algebra, Homological |
ISBN | : 9781470408268 |
Download On PL de Rham Theory and Rational Homotopy Type Book in PDF, ePub and Kindle
Author | : Phillip Griffiths |
Publisher | : Springer Science & Business Media |
Total Pages | : 228 |
Release | : 2013-10-02 |
Genre | : Mathematics |
ISBN | : 1461484685 |
Download Rational Homotopy Theory and Differential Forms Book in PDF, ePub and Kindle
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 Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fully-revised 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.
Author | : |
Publisher | : |
Total Pages | : 94 |
Release | : 1976 |
Genre | : Algebra, Homological |
ISBN | : |
Download On PL de Rhaam Theory and Rational Homotopy Type Book in PDF, ePub and Kindle
Author | : I.M. James |
Publisher | : Elsevier |
Total Pages | : 1336 |
Release | : 1995-07-18 |
Genre | : Mathematics |
ISBN | : 0080532985 |
Download Handbook of Algebraic Topology Book in PDF, ePub and Kindle
Algebraic 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.
Author | : P. Hoffman |
Publisher | : Springer |
Total Pages | : 288 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540357378 |
Download Algebraic Topology Book in PDF, ePub and Kindle
Author | : Yves Felix |
Publisher | : Springer Science & Business Media |
Total Pages | : 574 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 146130105X |
Download Rational Homotopy Theory Book in PDF, ePub and Kindle
Rational homotopy theory is a subfield of algebraic topology. Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.
Author | : Wen-tsun Wu |
Publisher | : |
Total Pages | : 232 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662166482 |
Download Rational Homotopy Type Book in PDF, ePub and Kindle
Author | : University of Minnesota. Institute for Mathematics and Its Applications |
Publisher | : American Mathematical Soc. |
Total Pages | : 378 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 0821850962 |
Download Singularities Book in PDF, ePub and Kindle
Covers the proceedings of the Institute for Mathematics and its Applications Participating Institutions Conference on Singularities, held at the University of Iowa in July 1986. Suitable for researchers in various aspects of singularity theory, this work provides an overview of the state of singularity theory and details work in several subareas.
Author | : |
Publisher | : |
Total Pages | : 219 |
Release | : 1964 |
Genre | : Differential algebra |
ISBN | : 9780387136110 |
Download Lecture Notes in Mathematics Book in PDF, ePub and Kindle