ScalingStacks

Theorem 8.2 . [01DE]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Theorem 8.2.

For any continuous metric ϕ\phi on Lan{L^{\mathrm{an}}} we have

∫Xan(ϕ−P⁡(ϕ))​MA⁡(P⁡(ϕ))=0.\int_{{X^{\mathrm{an}}}}(\phi-P(\phi))\operatorname{MA}(P(\phi))=0. (8.1)

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.