On complemented subspace of convergence-free spaces


Abstract


The author proved in 1935 (Math. Annalen 111,229-258) that two convergence-free spaces λ<sub>1</sub> and λ<sub>2</sub>, of countable degree are isomorphic if and only if there exists a perturbation of the coordinates which transforms λ<sub>1</sub> , intoλ<sub>2</sub>. 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.

DOI Code: 10.1285/i15900932v10supn1p23

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