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Minimax problems related to cup powers and Steenrod squares

Larry Guth
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Abstract

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 give examples to show that these lower bounds are fairly sharp.

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Larry Guth. 2008-01-27. Minimax problems related to cup powers and Steenrod squares. https://arxiv.org/abs/math/0702066

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