Manuscript X-A-conv@1 · X-A-conv.tex · section · c76fffa3

Fixed-regulator test continuity

Smooth coefficient kernels, support, and continuity › Fixed-regulator test continuity · lines 1541–1556

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If is allowed to vary in , the maps

are continuous into the smooth compact-kernel spaces on each fixed support stage, and hence in their test-function LF topologies. Indeed, (eq:uone) and (eq:utwo) use only finite differentiation and multiplication by fixed smooth functions on common compact sets.

All estimates are allowed to depend on . No uniform estimate as changes is asserted.

Displayed formulas in this passage

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