In Proposition 5.47, $M$ is a smooth manifold, but in Theorem 6.15, $M$ is a smooth manifold with or without boundary, how to conclude each $E_i$ is a compact regular domain by Proposition 5.47?
2026-03-25 20:34:32.1774470872
How to conclude each $E_i$ is a compact regular domain by Proposition 5.47?
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This excerpt is from my Introduction to Smooth Manifolds (2nd ed.). There's a correction to this proof on my website. Does that answer your question?