The isomorphism class of \(c_0\) is not Borel
From MaRDI portal
Publication:2421894
DOI10.1007/s11856-019-1851-0zbMath1435.46012arXiv1711.03328OpenAlexW3103139247MaRDI QIDQ2421894
Publication date: 18 June 2019
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.03328
Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)
Related Items (4)
Polish spaces of Banach spaces ⋮ Universality, complexity and asymptotically uniformly smooth Banach spaces ⋮ Lipschitz-free spaces and approximating sequences of projections ⋮ The descriptive complexity of approximation properties in an admissible topology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Banach spaces and descriptive set theory: selected topics
- One property of Lindenstrauss-Phelps spaces
- A class of special L//infinity spaces
- New classes of \(L_ p-\)spaces
- Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
- Descriptive complexity of some isomorphism classes of Banach spaces
- Tsirelson-like spaces and complexity of classes of Banach spaces
- On the complexity of some inevitable classes of separable Banach spaces
- On subspaces of quotients of (\(\sum G_n\))\(l_p\) and (\(\sum G_n\))\(c_0\)
- Szlenk indices and uniform homeomorphisms
- A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
- ON THE STRUCTURE OF SEPARABLE ‐SPACES
- Examples of asymptotic ℓ₁ Banach spaces
- Non-isomorphic complemented subspaces of the reflexive Orlicz function spaces $L^{\Phi }[0,1$]
- Functional analysis and infinite-dimensional geometry
This page was built for publication: The isomorphism class of \(c_0\) is not Borel