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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

1 vote
0 answers
152 views

Lebesgue dominated convergence for currents

I am learning current theory presently. In Chap 3.3-Definition of Monge-Ampère Operators, J.-P. Demailly, Complex analytic and differential geometry, I am a little confused as follows. Let $X$ be a …
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2 votes
0 answers
71 views

About the current of finite mass

In Demailly's e-book Complex analytic and differential geometry, chap3-(1.14) Proposition is stated as follows: Every positive current $T=i^{(n-p)^{2}} \sum T_{I, J} d z_{I} \wedge d \bar{z}_{J}$ i …
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  • 391