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Spaces of Smooth Maps

In: Differential Topology

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  • Amiya Mukherjee

    (Indian Statistical Institute, Statistics and Mathematics Unit)

Abstract

Many problems of differential topology can be formulated as problems about spaces of smooth maps between manifolds, and their associated jet spaces. For example, the problems of transversality which we considered earlier can be rephrased in terms of jets. This chapter is devoted to topics and results related to spaces of maps and jet spaces. The main aim is to prove Thom’s transversality theorem, and find some of its applications. One of the results gives a better perspective on Whitney’s embedding theorem which we have proved already in Chapter 2 .

Suggested Citation

  • Amiya Mukherjee, 2015. "Spaces of Smooth Maps," Springer Books, in: Differential Topology, edition 2, chapter 0, pages 225-265, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-19045-7_8
    DOI: 10.1007/978-3-319-19045-7_8
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