This is a preview of subscription content, log in via an institution to check access.
References
Anderson, R.D.: On topological infinite deficiency. Mich. Math. J.14, 365–383 (1967)
Anderson, R.D.: Hilbert space is homeomorphic to the countable infinite product of lines. Bull. Am. Math. Soc.72, 515–519 (1966)
Anderson, R.D., Curtis, D.W., van Mill, J.: A fake topological Hilbert space. Trans. Am. Math. Soc. (to appear)
Bessaga, C., Pelczyński, A.: Selected topics in infinite-dimensional topology. Monografic Matematyczne, 58, Warszawa (1975)
van Engelen, F., van Mill, J.: A pathological homogeneous subset of the real line (to appear)
Engelking, R.: General Topology. Monografie Matematyczne, 60. Warszawa (1977)
de Groot, J.: Groups represented by homeomorphism groups. Math. Ann.138, 80–102 (1959)
de Groot, J., Wille, R.J.: Rigid continua and topological group-pictures, Arch. Math. (Basel)9, 441–446 (1958)
Lavrentieff, M.: Contribution à la théorie des ensembles homéomorphes. Fund. Math.8, 201–208 (1925)
van Mill, J.: Strong local homogeneity does not imply countable dense homogeneity. Proc. Am. Math. Soc.84, 143–148 (1982)
Sierpiński, W.: Un theorème sur les continus. Tôhoku Math. J.13, 300–303 (1918)
Toruńczyk, H.: Absolute Retracts as factors of normed linear spaces. Fund Math.86, 53–67 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
van Mill, J. Representing countable groups by homeomorphism groups in Hilbert space. Math. Ann. 259, 321–329 (1982). https://doi.org/10.1007/BF01456944
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01456944