Gross spaces

DOI10.1090/S0002-9947-96-01658-3zbMath0860.03037arXivmath/9510215OpenAlexW2119698791MaRDI QIDQ4717120

Saharon Shelah, Otmar Spinas

Publication date: 17 March 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9510215

zbMATH Keywords

independenceconsistencysymmetric bilinear formGross spacegeneralized Gross spacesvector space of infinite dimension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Connections between field theory and logic (12L99) Consistency and independence results (03E35) Matrices of integers (15B36)

Related Items

The spectrum of the \(\Gamma\)-invariant of a bilinear space, Cardinal invariants of the continuum and combinatorics on uncountable cardinals

Cites Work

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• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Set theory. An introduction to independence proofs
• Proper forcing
• Strong negative partition relations below the continuum
• Strange inner product spaces
• Quadratic forms in infinite dimensional vector spaces
• Iterated forcing in quadratic form theory
• Further cardinal arithmetic
• Quadratic forms and linear topologies. VI: Quadratic spaces with few isometries
• Souslin forcing
• Independence and consistency proofs in quadratic form theory