7 citations · 23 across the 6 of their papers we have counts for
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math.DG2007★ 4 cited
Area-expanding embeddings of rectangles
Larry Guth
We estimate whether there is an embedding from one n-dimensional rectangle into another which expands every k-dimensional area. Our estimate is sharp up to a constant factor in eac…
math.DG2007★ 6 cited
Homotopically non-trivial maps with small k-dilation
Larry Guth
We construct homotopically non-trivial maps from S^m to S^n with arbitrarily small 3-dilation for certain pairs (m,n). The simplest example is m=4, n=3. Other examples include arbi…
math.DG2007★ 2 cited
Minimax problems related to cup powers and Steenrod squares
Larry Guth
If F is a family of mod 2 flat k-cycles in the unit n-ball, we lower bound the maximal volume of any cycle in F in terms of the homology class of F in the space of all cycles. We g…