MAT 531 (Spring 1996) Topology/Geometry II

Week 7
1. Class cancelled. Read Bredon, Chapter V Section 2, with special attention to the details of the proof of Proposition 2.7.

2. Review of Proposition 2.7, without proofs. The integral of an n-form with compact support in R^n. (Bredon, Chapter V, Section 3). If theta: R^n --> R^n is a diffeomorphism, then theta* of the form has the same integral. (So integration of n-forms is more natural than integration of functions) The integral of an n-form with support contained in a coordinate neighborhood on an n-manifold. Independent of the coordinate chosen.

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