This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
Banach, S. and Tarski, A., Sur la décomposition des ensembles de points en parties respectivement congruentes. Fund. Math. 6, 1924, pp.244–277. (See also R.M.Robinson "On the decomposition of spheres", ibid 34, 1947, pp.246–260).
Christensen, J.P.R., Borel structure in groups and semi-groups. Math. Scand. 28, 1971, pp.124–128.
De Wilde, M., Réseaux dans les espaces linéaires à semi-normes. Mémoires Soc. Roy. Sc. de Liège, 18, 1969, no.2.
De Wilde, M., Vector topologies and linear maps on products of topological vector spaces. Math. Ann. 196, 1972, pp.117–128.
Garnir, H.G., De Wilde, M. and Schmets, J., Analyse fonctionnelle: théorie constructive des espaces à semi-normes, Birkhäuser Verlag: I, General theory 1968, II, Measure theory 1970, III, Usual spaces 1973.
Gödel, K., The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory. Ann. of Math. Studies no.3, Princeton Univ. Press, 1940.
Hewitt, E. and Ross, K., Abstract harmonic analysis I, Springer Verlag, 1963.
Schwartz, L., Sur le théorème du graphe fermé. C.R.Acad. Sc. Paris 263, 1966, pp.602–605.
Solovay, R., A model of set theory in which every set of reals is Lebesgue-measurable. Annals of Math. 92, 1970, pp.1–56.
Zermelo, E., Beweis dass jede menge wohlgeordnet werden kann. Math. Ann. 59, 1904, pp.514–516.
Zorn, M., A remark on method in transfinite algebra. Bull. Am. Soc. 41, 1935, pp. 667–670.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Garnir, H.G. (1974). Solovay's axion and functional analysis. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063575
Download citation
DOI: https://doi.org/10.1007/BFb0063575
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06869-3
Online ISBN: 978-3-540-37827-3
eBook Packages: Springer Book Archive
