Geometric and Functional Analysis

, Volume 18, Issue 6, pp 1917–1987 | Cite as

Minimax Problems Related to Cup Powers and Steenrod Squares

  • Larry Guth


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.

Keywords and phrases:

Minimax isoperimetric metric geometry Steenrod square 

AMS Mathematics Subject Classification:



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Copyright information

© Birkhäuser Verlag, Basel 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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