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Jan 7, 2021 at 17:06 comment added R. van Dobben de Bruyn You did not answer my question. Are you requiring that the restriction of said embedding agrees with the natural inclusion?
Jan 7, 2021 at 17:04 comment added ABB Yes, by the natural inclusion $V_i \hookrightarrow \prod V_j$ for every $i$.
Jan 7, 2021 at 16:53 comment added R. van Dobben de Bruyn What do you mean by 2? Does the embedding have the restrict to the natural inclusions $V_i \hookrightarrow \prod V_j$? It seems more natural to ask for the natural map $\bigoplus V_i \twoheadrightarrow V$ to be surjective (or use quotients instead of subobjects and dualise).
Jan 7, 2021 at 16:15 history edited ABB CC BY-SA 4.0
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Jan 7, 2021 at 16:06 history asked ABB CC BY-SA 4.0