Geometric and Functional Analysis

, Volume 18, Issue 6, pp 1917–1987

Minimax Problems Related to Cup Powers and Steenrod Squares


    • Department of MathematicsUniversity of Toronto

DOI: 10.1007/s00039-009-0710-2

Cite this article as:
Guth, L. GAFA Geom. funct. anal. (2009) 18: 1917. doi:10.1007/s00039-009-0710-2


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:

Minimaxisoperimetricmetric geometrySteenrod square

AMS Mathematics Subject Classification:


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© Birkhäuser Verlag, Basel 2009