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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 33))

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Abstract

In this short chapter we present the elementary part of one of the most elegant theories in differential topology, René Thorn’s theory of cobordism. It was largely for this work that Thorn was awarded the Fields Medal in 1958.

... the theory of “Cobordisme” which has, within the few years of its existence, led to the most penetrating insights into the topology of differentiable manifolds.

H. Hopf, International Congress of Mathematicians, 1958

Mathematicians are like Frenchmen : whatever you say to them they translate into their own language and forthwith it is something completely different.

Goethe, Maximen und Reflexionen

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© 1976 Springer-Verlag New York Inc.

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Hirsch, M.W. (1976). Cobordism. In: Differential Topology. Graduate Texts in Mathematics, vol 33. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9449-5_8

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  • DOI: https://doi.org/10.1007/978-1-4684-9449-5_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-9451-8

  • Online ISBN: 978-1-4684-9449-5

  • eBook Packages: Springer Book Archive

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