Spaces of Smooth Maps

Amiya Mukherjee
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Amiya Mukherjee: Indian Statistical Institute, Statistics and Mathematics Unit

Chapter Chapter 8 in Differential Topology, 2015, pp 225-265 from Springer

Abstract: 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 .

Keywords: Vector Bundle; Open Neighbourhood; Open Covering; Strong Topology; Coordinate Chart (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-19045-7_8

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DOI: 10.1007/978-3-319-19045-7_8

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