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Oct 23, 2018 at 8:02 vote accept CommunityBot
Oct 17, 2018 at 14:31 comment added user21230 On the other hand if my surgeries were not ambient then I do not know whether result is embeddable in $R^5$...OK, I can do surgeries outside $M$, then I do not care.... It is nice to hear that someone already thought about embedding of 4-manifolds in $R^5$ and $R^6$. I wonder how many of them are 1-connected. Of course I have many other questions. For example when $M$ is embeddable in $S^4$ what are possible different embeddings in terms of homology of $N_1$ and $N_2$ (components onto which $M$ cuts the sphere) ? Are they as many as different decompositions of $H_1M$ onto direct summands ?
Oct 17, 2018 at 14:13 comment added user21230 You can call it opinion. For me you have given hints and further reading. It is much, much better then closing my question, as it sometimes happen here...thanks a lot !
Oct 17, 2018 at 13:33 history answered Danny Ruberman CC BY-SA 4.0