72 citations · 72 across the 3 of their papers we have counts for
3 papers
math.CO2007
Quasirandom groups
W. T. Gowers
Babai and Sós have asked whether there exists a constant c>0 such that every finite group G has a product-free subset of size at least c|G|: that is, a subset X that does not conta…
math.CO2007★ 72 cited
Hypergraph regularity and the multidimensional Szemerédi theorem
W. T. Gowers
We prove analogues for hypergraphs of Szemerédi's regularity lemma and the associated counting lemma for graphs. As an application, we give the first combinatorial proof of the mul…
math.FA2005
An infinite Ramsey theorem and some Banach-space dichotomies
W. T. Gowers
A problem of Banach asks whether every infinite-dimensional Banach space which is isomorphic to all its infinite-dimensional subspaces must be isomorphic to a separable Hilbert spa…