Bulletin of the American Mathematical Society

MathSciNet review: 1567477
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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.

[EC] Elie Cartan, Sur les nombres de Betti des espaces de groupes clos, C. R. Acad. Sci. Paris 187 (1928), 196-198.

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; Masson & Cie, Paris, 1951, pp. 57–71 (French). MR 0042427

Kuo-tsai Chen, Iterated integrals of differential forms and loop space homology, Ann. of Math. (2) 97 (1973), 217–246. MR 380859, DOI 10.2307/1970846

[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

Stephen Halperin, Lectures on minimal models, Publ. IRMA Lille 3 (1981), no. 4, 274 pp. (not consecutively paged). MR 637558

John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554

[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 258031, DOI 10.2307/1970725

Dennis Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269–331 (1978). MR 646078

René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923

Hermann Weyl, The concept of a Riemann surface, ADIWES International Series in Mathematics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1964. Translated from the third German edition by Gerald R. MacLane. MR 0166351

Hassler Whitney, Geometric integration theory, Princeton University Press, Princeton, N. J., 1957. MR 0087148

[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 0042427




[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