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Relatively weakly open convex combinations of slices

Vegard LimaVegard LimaTrond A. Abrahamsen

subject

Unit sphereCombinatoricsDiscrete mathematicsProperty (philosophy)Applied MathematicsGeneral Mathematics010102 general mathematicsHausdorff spaceRegular polygon0101 mathematics01 natural sciencesMathematics

description

We show that c 0 c_0 and, in fact, C ( K ) C(K) for any scattered compact Hausdorff space K K have the property that finite convex combinations of slices of the unit ball are relatively weakly open.

http://hdl.handle.net/11250/2594891