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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

Book Information

Authors: Raoul Bott and Loring W. Tu
Title: Differential forms in algebraic topology
Additional book information Graduate Texts in Mathematics, Vol. 82, Springer-Verlag, New York, 1982, xiv + 331 pp., $29.80. ISBN 0-3879-0613-4.

References [Enhancements On Off] (What's this?)

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  • Henri Cartan, La transgression dans un groupe de Lie et dans un espace fibré principal, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège, 1951, pp. 57–71 (French). MR 0042427 (13,107f)
  • Kuo-tsai Chen, Iterated integrals of differential forms and loop space homology, Ann. of Math. (2) 97 (1973), 217–246. MR 0380859 (52 #1756)
  • [DR] Georges de Rham, Sur l'analysis situs des variétés à n dimensions, Gauthier-Villars, Paris, 1931.
  • Phillip A. Griffiths and John W. Morgan, Rational homotopy theory and differential forms, Progress in Mathematics, vol. 16, Birkhäuser Boston, Mass., 1981. MR 641551 (82m:55014)
  • Stephen Halperin, Lectures on minimal models, Publ. IRMA Lille 3 (1981), no. 4, 274 pp. (not consecutively paged). MR 637558 (83j:55008)
  • John W. Milnor and James D. Stasheff, Characteristic classes, Princeton University Press, Princeton, N. J., 1974. Annals of Mathematics Studies, No. 76. MR 0440554 (55 #13428)
  • [P] Henri Poincaré, Analysis situs, J. École Polytechnique (2) (1895), 1-121; Oeuvres. t. VI, Gauthier-Villars, Paris, 1953, pp. 193-288.
  • Daniel Quillen, Rational homotopy theory, Ann. of Math. (2) 90 (1969), 205–295. MR 0258031 (41 #2678)
  • Dennis Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269–331 (1978). MR 0646078 (58 #31119)
  • René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 0061823 (15,890a)
  • Hermann Weyl, The concept of a Riemann surface, Translated from the third German edition by Gerald R. MacLane. ADIWES International Series in Mathematics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1964. MR 0166351 (29 #3628)
  • Hassler Whitney, Geometric integration theory, Princeton University Press, Princeton, N. J., 1957. MR 0087148 (19,309c)

Review Information

Reviewer: James D. Stasheff
Journal: Bull. Amer. Math. Soc. 10 (1984), 117-121
PII: S 0273-0979(1984)15208-X