Manuscript X-G-ST@1 · X-G-ST.tex · section · 3c97567f

Support, topology, and comparison boundaries

Support, topology, and comparison boundaries · lines 2038–2051

For compact $A \subset M$ , let

D_{A} = {a \in C_{c}^{\infty} (M; C) : supp a \subset A}, p_{N} (a) = ∣ α ∣ \leq N max sup ∣ \partial^{α} a ∣.

The scalar degree-one quotient is

Q_{m} = D / P_{m} D, D = C_{c}^{\infty} (M; C) .

Displayed formulas in this passage

unlabeled · line 2042
$D_{A} = {a \in C_{c}^{\infty} (M; C) : supp a \subset A}, p_{N} (a) = ∣ α ∣ \leq N max sup ∣ \partial^{α} a ∣.$
unlabeled · line 2048
$Q_{m} = D / P_{m} D, D = C_{c}^{\infty} (M; C) .$