A polymerizable composition which contains a cycloolefin monomer, metathesis polymerization catalyst, cross-linking agent, and carbon fiber which is brought into contact in advance with a sizing agent which includes a compound having an unsaturated terminal group and a polar group, a cross-linkable shaped article obtained by polymerizing the polymerizable composition, a cross-linked shaped article obtained by cross-linking the cross-linkable shaped article, and a cross-linked shaped article composite which contains the cross-linked shaped article and other members.
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