Minimax Problems Related to Cup Powers and Steenrod Squares (original) (raw)

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Abstract.

If F is a family of mod 2 _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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Authors and Affiliations

1. Department of Mathematics, University of Toronto, Toronto, Ontario, Canada, M5S 2E4
   Larry Guth

Authors

1. Larry Guth
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Correspondence toLarry Guth.

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Received: February 2007, Revision: January 2008, Accepted: January 2008

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Guth, L. Minimax Problems Related to Cup Powers and Steenrod Squares.GAFA Geom. funct. anal. 18, 1917–1987 (2009). https://doi.org/10.1007/s00039-009-0710-2

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• Published: 25 February 2009
• Issue Date: March 2009
• DOI: https://doi.org/10.1007/s00039-009-0710-2

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