Let (M in mathcal{M}_{T, text { loc }}^{c}) and (f_{n}) be a sequence in (mathcal{L}_{T}^{0}(M)). If (f_{n}

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Let \(M \in \mathcal{M}_{T, \text { loc }}^{c}\) and \(f_{n}\) be a sequence in \(\mathcal{L}_{T}^{0}(M)\). If \(f_{n} ightarrow f\) in ucp-sense, then \(f \in \mathcal{L}_{T}^{0}(M)\).

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