Linear superpositions with mappings which lower dimension

Author:
Y. Sternfeld

Journal:
Trans. Amer. Math. Soc. **277** (1983), 529-543

MSC:
Primary 26B40; Secondary 54F45

MathSciNet review:
694374

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Abstract: It is shown that for every -dimensional compact metric space , there exist functions in and mappings on with -dimensional range each, with the following property: for every , every tuple of the 's and every tuple of the 's, each can be represented as , with and .

It is also shown that in many cases the number is the smallest possible.

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DOI:
https://doi.org/10.1090/S0002-9947-1983-0694374-9

Article copyright:
© Copyright 1983
American Mathematical Society