Introduces various theories of characteristic classes which have been initiated and developed during the last three decades. Coverage includes characteristic classes of flat bundles, characteristic classes of foliations, and characteristic classes of surface bundles. There is also a short exposition of the de Rham homotopy theory, and an introduction to the Gel'fand-Fuks cohomology theory. A final chapter looks at directions and problems for future research. First published in Japanese by Iwanami Shoten, Publishers, Tokyo, 1999. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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