A topological concept of smallness.

Proc Natl Acad Sci U S A

University of California, Davis, CA 95616.

Published: June 1987

We introduce a concept of smallness yielding topological spaces intuitively smaller than those that are simultaneously of universal measure zero and perfectly meager. Without any set-theoretic assumptions we show that there is a small uncountable algebraic subfield of the reals.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC304999PMC
http://dx.doi.org/10.1073/pnas.84.12.3957DOI Listing

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