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The golden age of immersion theory in topology: 1959–1973. A mathematical survey from a historical perspective

Author: David Spring
Journal: Bull. Amer. Math. Soc. 42 (2005), 163-180
MSC (2000): Primary 57R42, 01A60
Published electronically: January 25, 2005
MathSciNet review: 2133309
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Abstract: We review the history of modern immersion-theoretic topology during the period 1959–1973, beginning with the work of S. Smale followed by the important contributions from the Leningrad school of topology, including the work of M. Gromov. We discuss the development of the major geometrical ideas in immersion-theoretic topology during this period. Historical remarks are included and technical concepts are introduced informally.

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David Spring
Affiliation: Department of Mathematics, Glendon College, York University, 2275 Bayview Avenue, Toronto, Ontario, Canada M4N 3M6

Keywords: Topology, immersion theory, $h$-principle, Smale’s theory, Leningrad school
Received by editor(s): June 16, 2004
Published electronically: January 25, 2005
Article copyright: © Copyright 2005 American Mathematical Society