Unknotting 3-balls in the 5-ball
Copyright policy )Unknotting 3-balls in the 5-ball
The purpose of this note is to provide a positive answer to a question posed by Gay [ Diffeomorphisms of the 4-sphere, cerf theory and montesinos twins , Preprint, arXiv: 2102.12890 , 2021], as well as Hughes, Kim, and Miller [ Knotted handlebodies in the 4-sphere and 5-ball , Preprint, arXiv: 2111.13255 , 2021] regarding smooth embeddings of the 3 3 -ball in the 4 4 -sphere becoming isotopic relative to the bounding 2 2 -sphere when pushed into the 5 5 -ball.
Isotopy in differential topology, Embeddings in differential topology, isotopy, Mathematics - Geometric Topology, 57R52 (Primary), 57K45 (Secondary), Differential topological aspects of diffeomorphisms, topological balls in low dimensions, FOS: Mathematics, Geometric Topology (math.GT), Higher-dimensional knots and links, unknotting
Isotopy in differential topology, Embeddings in differential topology, isotopy, Mathematics - Geometric Topology, 57R52 (Primary), 57K45 (Secondary), Differential topological aspects of diffeomorphisms, topological balls in low dimensions, FOS: Mathematics, Geometric Topology (math.GT), Higher-dimensional knots and links, unknotting
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