Using Math to Solve Classification

via Quanta Magazine

For decades, one classification problem — involving a particular set of infinitely large objects called torsion-free abelian groups (or TFABs) — stymied researchers. This problem was first raised in 1989 by the mathematicians Harvey Friedman and Lee Stanley in a paper that, according to Paolini, “introduced a new way of comparing the difficulties of classification problems for countable structures, indicating that some things are more complicated than others.”

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