### 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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