Minimax problems related to cup powers and Steenrod squares

Mathematics – Differential Geometry

Scientific paper

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55 pages, 9 figures. The results about cup powers are due to Gromov. When I wrote the first version of the paper I believed th

Scientific paper

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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