Tubular Neighbourhoods

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

Chapter Chapter 7 in Differential Topology, 2015, pp 199-223 from Springer

Abstract: Abstract The concept of a tubular neighbourhood was introduced by Whitney in [56] and [59]. This sketches a link between vector bundle and topology of manifold depicting how nicely a submanifold is embedded in a manifold. If M is submanifold of N, then a tubular neighbourhood of M is a neighbourhood of M in N which resembles the normal bundle of M in N. Thus a tubular neighbourhood describes the topology of a neighbourhood of the submanifold.

Keywords: Vector Bundle; Open Neighbourhood; Normal Bundle; Tubular Neighbourhood; Zero Section (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-19045-7_7

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