On Witt’s theorem in the denumerably infinite case

On Witt’s theorem in the denumerably infinite case
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by Herbert Gross PDF

Trans. Amer. Math. Soc. 123 (1966), 536-547 Request permission

References

N. Bourbaki, Éléments de mathématique. Première partie: Les structures fondamentales de l’analyse. Livre II: Algèbre. Chapitre 9: Formes sesquilinéaires et formes quadratiques, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1272, Hermann, Paris, 1959 (French). MR 0107661
H. Gross, Ein Wittscher Satz im Falle von Vektorräumen abzählbarer Dimension, J. Reine Angew. Math. 222 (1966), 195–200 (German). MR 188224, DOI 10.1515/crll.1966.222.195
Herbert Gross and H. R. Fischer, Quadratic forms and linear topologies. II. Non-real fields $k$ and infinite dimensional $k$-vector spaces, Math. Ann. 159 (1965), 285–308. MR 182659, DOI 10.1007/BF01362447
Irving Kaplansky, Forms in infinite-dimensional spaces, An. Acad. Brasil. Ci. 22 (1950), 1–17. MR 37285