Rational Homotopy Type : A Constructive Study via the Theory of the I*-measure
This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive...
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| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1264 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Rational homotopy type, a constructive study via the theory of the I*-measure, Wu Wen-tsün, 1987, Berlin, Springer-Verlag, 1 volume (VIII-219 pages), Lecture notes in mathematics, 0-387-13611-8 • Rational Homotopy Type, Texte imprimé, 9783662166482 |
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| 020 | |a 9783540390251 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Wu, Wenjun, |d 1919-2017. | |
| 245 | 1 | 0 | |a Rational Homotopy Type : |b A Constructive Study via the Theory of the I*-measure |c Wu Wen-tsün. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1264 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Fundamental concepts. Measure and calculability -- Dga and minimal model -- The de rham-sullivan theorem and I*-measure -- I*-measure and homotopy -- I*-measure of a homogeneous space The cartan theorem -- Effective computation and axiomatic system of I*-measure -- I*-measures connected with fibrations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. The I*-measure is shown to differ from other homology and homotopy measures in that it is calculable with respect to most of the important geometric constructions encountered in algebraic topology. This approach provides a new method of treatment and leads to various new results. In particular, an axiomatic system of I*-measure is formulated, quite different in spirit from the usual Eilenberg-Steenrod axiomatic system for homology, and giving at the same time an algorithmic method of computation of the I*-measure in concrete cases. The book will be of interest to researchers in rational homotopy theory and will provide them with new ideas and lines of research to develop further. | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Théorie de la mesure | ||
| 650 | |a Homotopie | ||
| 650 | |a Algèbre différentielle | ||
| 776 | 0 | |0 020303424 |t Rational homotopy type |o a constructive study via the theory of the I*-measure |f Wu Wen-tsün |d 1987 |c Berlin |n Springer-Verlag |p 1 volume (VIII-219 pages) |s Lecture notes in mathematics |z 0-387-13611-8 | |
| 776 | 0 | |t Rational Homotopy Type |b Texte imprimé |z 9783662166482 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0081997 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3V931LH8-D |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750660791 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0081997 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754010376 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0081997 |z Accès INSA CVL | |
| 997 | |0 970671 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||