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<p>We show that there exist infinitely many pairwise non-isotopic splitting 3-spheres for two unlinked, unknotted 2-spheres in <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mn>4</mn> </msup> </math></EquationSource> <EquationSource Format="TEX">$S^{4}$</EquationSource> </InlineEquation>. This answers a question posed by Hughes, Kim, and Miller.</p>

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Splitting 3-spheres for unknotted 2-spheres in \(S^{4}\)

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Alison Tatsuoka

摘要

We show that there exist infinitely many pairwise non-isotopic splitting 3-spheres for two unlinked, unknotted 2-spheres in S 4 $S^{4}$ . This answers a question posed by Hughes, Kim, and Miller.