Minimax problems related to cup powers and Steenrod squares

Author:
  • LGLarry Guth
    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.