On complemented subspace of convergence-free spaces
Abstract
The author proved in 1935 (Math. Annalen 111,229-258) that two convergence-free spaces
and
, of countable degree are isomorphic if and only if there exists a perturbation of the coordinates which transforms
, into
. The author gives a ne w exposition of this result and its consequences and formulates some unsolved problems on the structure of the complemented subspaces of spaces of countable degree.
![λ<sub>1</sub>](http://212.189.136.205/plugins/generic/latexRender/cache/e9cd910fdb31f21afb6d5a6fa6edf08e.png)
![λ<sub>2</sub>](http://212.189.136.205/plugins/generic/latexRender/cache/da8e506f55c05a35ba651a83e4e3a610.png)
![λ<sub>1</sub>](http://212.189.136.205/plugins/generic/latexRender/cache/e9cd910fdb31f21afb6d5a6fa6edf08e.png)
![λ<sub>2</sub>](http://212.189.136.205/plugins/generic/latexRender/cache/da8e506f55c05a35ba651a83e4e3a610.png)
DOI Code:
10.1285/i15900932v10supn1p23
Full Text: PDF