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LIN Li-hua. Relation between hereditarily indecomposable space and spaces with the ball-covering property(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 8-11.
Citation:
LIN Li-hua. Relation between hereditarily indecomposable space and spaces with the ball-covering property(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 8-11.
LIN Li-hua. Relation between hereditarily indecomposable space and spaces with the ball-covering property(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 8-11.
Citation:
LIN Li-hua. Relation between hereditarily indecomposable space and spaces with the ball-covering property(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2008, (3): 8-11.
It was shown that if X is a hereditarily indecomposable Banach space, and Gateaux differentiability points are dense in X, then X is a ball-covering property space. And further if Gateaux differentiability points are dense in a infinitely dimensional subspace of X , then X is a ball-covering property space too.