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.

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Partitions of Unity

  • Will J. Merry

摘要

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.