An independence result in quadratic form theory: Infinitary combinatorics applied to ε-Hermitian spaces

Author:

Appenzeller Fred

Abstract

AbstractThere are shown to be many ε-Hermitian spaces, and an isometry criterion is stated which holds under MA1 and is false under 20< 21.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference19 articles.

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2. Gross H. , On the number of isometry classes of bilinear spaces in uncountable dimensions (to appear).

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Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Spectra of the Γ-invariant of uniform modules;Journal of Pure and Applied Algebra;2001-08

2. Fred Appenzeller. An independence result in quadratic form theory: infinitary combinatorics applied to ε-Hermitian spaces. The journal of symbolic logic, vol. 54 (1989), pp. 689–699. - Otmar Spinas. Linear topologies on sesquilinear spaces of uncountable dimension. Fundamenta mathematicae, vol. 139 (1991), pp. 119–132. - James E. Baumgartner, Matthew Foreman, and Otmar Spinas. The spectrum of the Γ-invariant of a bilinear space. Journal of algebra, vol. 189 (1997), pp. 406–418. - James E. Baumgartner and Otmar Spinas. Independence and consistency proofs in quadratic form theory. The journal of symbolic logic, vol. 56 (1991), pp. 1195–1211. - Otmar Spinas. Iterated forcing in quadratic form theory. Israel journal of mathematics, vol. 79 (1992), pp. 297–315. - Otmar Spinas. Cardinal invariants and quadratic forms. Set theory of the reals, edited by Haim Judah, Israel mathematical conference proceedings, vol. 6, Gelbart Research Institute for Mathematical Sciences, Bar-Ilan University, Ramat-Gan 1993, distributed by the American Mathematical Society, Providence, pp. 563–581. - Saharon Shelah and Otmar Spinas. Gross spaces. Transactions of the American Mathematical Society, vol. 348 (1996), pp. 4257–4277.;Bulletin of Symbolic Logic;2001-06

3. The Spectrum of the Γ-Invariant of a Bilinear Space;Journal of Algebra;1997-03

4. Some groups generated by transvection subgroups;Journal of Algebra;1991-06

5. Linear topologies on sesquilinear spaces of uncountable dimension;Fundamenta Mathematicae;1991

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