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Does every oriented $3$-dimensional submanifold of $\mathbb{R}^6$ bound an oriented $4$-dime...

In my recent research, I encountered the following problem about embeddings. Let $M^3$ be a closed compact oriented smooth $3$-dimensional submanifold of $\mathbb{R}^6$. … boundary, we have a smooth $4$-manifold $N'$ with boundary $M.$ By Whitney's embedding theorem for manifold with boundaries, $N'$ embeds into $\mathbb{R}^7.$ By the Whitney-Wu unknotting theorem, any two embeddings