Partitions of Unity

Will J. Merry
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Will J. Merry: ETH Zürich, Departement Mathematik

Chapter Chapter 3 in Lectures on Differential Geometry I, 2026, pp 23-30 from Springer

Abstract: Abstract This chapter gives an alternative, germ-free, definition of a tangent vector. To get there we introduce the notions of the support of a smooth function, the bump function, and partitions of unity.

Date: 2026
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DOI: 10.1007/978-3-032-03733-6_3

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