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math.GT2024
Rep-Tiles
Ryan Blair, Patricia Cahn, Alexandra Kjuchukova +1
An -dimensional rep-tile is a compact, connected submanifold of with non-empty interior which can be decomposed into pairwise isometric rescaled copies of itself…
math.GT2024
Adding a suitable unknot to any link equates bridge number and meridional rank
Ryan Blair, Alexandra Kjuchukova, Ella Pfaff
Given any link , we show that it is possible to embed an unknot in its complement so that the link satisfies the Meridional Rank Conjecture (MRC). The…