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Timeline for Invertible 2-knots in $S^4$

Current License: CC BY-SA 4.0

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Jun 22, 2021 at 23:01 history edited Victor CC BY-SA 4.0
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Jun 22, 2021 at 8:41 vote accept Victor
Jun 22, 2021 at 0:25 comment added Victor Sorry, I meant a slightly different question. I changed it. Here is the old question: "Is it true that a knot $S^2\hookrightarrow S^4$ has an inverse iff it is trivial? Or it is also an open question?".
Jun 22, 2021 at 0:17 history edited Victor CC BY-SA 4.0
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Jun 21, 2021 at 21:37 history edited Victor CC BY-SA 4.0
edited title
Jun 21, 2021 at 20:42 vote accept Victor
Jun 22, 2021 at 0:10
Jun 21, 2021 at 20:23 comment added Ryan Budney A similar open question (as far as I know) is if the orientation-preserving diffeomorphism classes of compact smooth $4$-manifolds, that is a monoid with the connect-sum operation. Are there any invertible elements other than $S^4$? Are there irreducible 4-manifolds? Are there "small" homotopy 4-spheres, i.e. the Schoenflies problem?
Jun 21, 2021 at 19:21 answer added Danny Ruberman timeline score: 7
Jun 21, 2021 at 17:53 history asked Victor CC BY-SA 4.0