/sci/ - Science & Math

I'm searching for a linear transformation that satisfies the conditions, which you can read from the commutative diagram. Do you think [eqn]\Phi: W \ni w \mapsto (\phi_{i}(w))_{i \in I} \in \prod_{i \in I} V_{i}[/eqn] is a good candidate?

>>15245493
Thanks for your suggestion, anon.