P. Koszmider

activity

20082026

most citedThin-very tall compact scattered spaces which are hereditarily separable

19 citations · 125 across the 36 of their papers we have counts for

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Showing 2016 · math.FAShow all

2 papers · 2 filters

math.FA2016★ 1 cited

A 1-separably injective space that does not contain $ℓ_{\infty}$

Antonio Avilés, Piotr Koszmider

We show that the problem whether every $1$ -separably injective Banach space contains an isomorphic copy of $ℓ_{\infty}$ is undecidable. Namely, unlike under the continuum hypothes…

math.FA2016

There is no bound on sizes of indecomposable Banach spaces

Piotr Koszmider, Saharon Shelah, Michał Świȩtek

Assuming the generalized continuum hypothesis we construct arbitrarily big indecomposable Banach spaces. i.e., such that whenever they are decomposed as $X \oplus Y$ , then one of th…

A 1-separably injective space that does not contain ℓ∞​

There is no bound on sizes of indecomposable Banach spaces

A 1-separably injective space that does not contain $ℓ_{\infty}$