[19] This “if” is the catch that makes all methods of metrization of a space of dimensionality higher than one impractical, except the method of successive projections upon unit spheres centered at the center of gravity. The method of using that nilpotent projection operator is described in the companion paper(see footnote [page 65]).
[20] Only non-cyclic irreducible (wrt direct product) denumerable group components of the old denumerable space will remain.
[21] Random cartesian product.
[22] This paper, submitted after the Symposium, represents a more detailed presentation of some of the issues raised in the discussion sessions at the Symposium and hence, constitutes a worthwhile addition to the Proceedings.
Transcriber’s Notes:
The illustrations have been moved so that they do not break up paragraphs and so that they are next to the text they illustrate.
Typographical and punctuation errors have been silently corrected.
A heavy bar on top of a letter indicates a vector, e.g. M means “the vector M”.