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COMPACT SPACES WITH HEREDITARILY NORMAL SQUARES
COMPACT SPACES HEREDITARILY NORMAL SQUARES
2015/8/17
In 1948, Katetov proved the following metrization theorem. Theorem 1.1. [3] If X is a compact space1 and every subspace of X3 is normal, then X is metrizable.
A hereditarily indecomposable Banach space with rich spreading model structure
Spreading models Strictly singular operators Reflexive spaces Hereditarily indecomposable spaces
2012/6/25
We present a reflexive Banach space $\mathfrak{X}_{_{^\text{usm}}}$ which is Hereditarily Indecomposable and satisfies the following properties. In every subspace $Y$ of $\mathfrak{X}_{_{^\text{usm}}}...
Hereditarily indecomposable, separable L_\infty spaces with \ell_1 dual having few operators, but not very few operators
Hereditarily indecomposable math
2010/11/24
Given a natural number $k \geq 2$, we construct a hereditarily indecomposable, $\mathscr{L}_{\infty}$ space, $X_k$ with dual isomorphic to $\ell_1$. We exhibit a non-compact, strictly singular operato...