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Book Review
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Book Information
Author(s):
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:
- [EC] Elie Cartan, Sur les nombres de Betti des espaces de groupes clos, C. R. Acad. Sci. Paris 187 (1928), 196-198.
- [HC] Henri Cartan, La transgression dans un groupe de Lie et dans un espace fibré principal, Notions d'algèbre différentielle: application aux groupes de Lie et aux variétés où opére un groupe de Lie, Colloque de topologie (espaces fibrés), 58-71, Bruxelles, 1950. MR 42427
- [KTC] K. T. Chen, Iterated integrals of differential forms and loop space homology, Ann. of Math. (2) 97 (1973), 217-246. MR 380859
- [DR] Georges de Rham, Sur l'analysis situs des variétés à n dimensions, Gauthier-Villars, Paris, 1931.
- [GM] Phillip Griffiths and John Morgan, Rational homotopy theory and differential forms, Birkhauser, Boston, 1981. MR 641551
- [H] Stephen Halperin, Lectures on minimal models, Mem. Soc. Math. France (to appear). MR 637558
- [MS] John Milnor and James Stasheff, Characteristic classes, Ann. of Math. Stud., No. 76, Princeton Univ. Press, Princeton, N.J., 1974. MR 440554
- [P] Henri Poincaré, Analysis situs, J. École Polytechnique (2) (1895), 1-121; Oeuvres. t. VI, Gauthier-Villars, Paris, 1953, pp. 193-288.
- [Q] Daniel Quillen, Rational homotopy theory, Ann. of Math. (2) 90 (1969), 205-295. MR 258031
- [S] Dennis Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269-331. MR 646078
- [T] René Thom, Opérations en cohomologie réelle, Sém. H. Cartan, 1954-55, Exp. 17. MR 61823
- [WY] Herman Weyl, Die Idee der Riemannischen Fläche, Teubner, Leipzig, 1913. The third (1955) German edition was translated into English by G. R. MacLane and appeared as The Concept of a Riemann Surface, Addison-Wesley, Reading, 1964. MR 166351
- [WH] Hassler Whitney, Geometric integration theory, Princeton Univ. Press, Princeton, N.J., 1957. MR 87148
Additional Information:
Reviewer(s):
James D.
Stasheff
Review Information:
Journal:
Bull. Amer. Math. Soc.
10
(1984),
117-121.
DOI:
10.1090/S0273-0979-1984-15208-X
PII:
S 0273-0979(1984)15208-X
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