论文信息 - Noncompact hereditarily strongly infinite-dimensional spaces

Noncompact hereditarily strongly infinite-dimensional spaces

It is shown that any strongly infinite dimensional space contains a strongly infinite dimensional subspace all of whose subspaces are either 0-dimensional or strongly infinite dimensional.

Leonard R. Rubin | L. Rubin

[1] John J. Walsh,et al. Infinite dimensional compacta containing no n-dimensional (n≥1) subsets , 1979 .

[2] T. Chapman,et al. Lectures on Hilbert Cube Manifolds , 1976 .

[3] R. Bing. A hereditarily infinite dimensional space , 1967 .

[4] R. M. Schori,et al. New dimension-theory techniques for constructing infinite-dimensional examples , 1979 .

[5] D. Henderson. An Infinite-Dimensional Compactum with no Positive-Dimensional Compact Subsets-A Simpler Construction , 1967 .

[6] Witold Hurewicz,et al. Une remarque sur l'hypothèse du continu , 1932 .

[7] L. Rubin. Hereditarily strongly infinite-dimensional spaces. , 1980 .

[8] N. Meyers,et al. H = W. , 1964, Proceedings of the National Academy of Sciences of the United States of America.