3. The following picture shows the boundaries of several closed subspaces U,..., U. CE? of common Euler characteristic x

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3 The Following Picture Shows The Boundaries Of Several Closed Subspaces U U Ce Of Common Euler Characteristic X 1 (51.7 KiB) Viewed 21 times

3. The following picture shows the boundaries of several closed subspaces U,..., U. CE? of common Euler characteristic x(U:) = 1. No two boundaries are tangential. 1 1 2 1 2 1 1 0 0 1 2 1 2 2. 1 Let X = UU.UU. The numbers in the interiors of the subspaces and their intersections represent the weight function w: X → Z where w(x) = l{i : 2 EU}. Define the Euler integral I wdx and then calculate this integral, showing your calculations. Deduce the number of sub- spaces t from your calculation.