Roitman, Judith A.2015-03-242015-03-241978-05-02Roitman, Judith A. "A reformulation of S and L." Proc. Amer. Math. Soc. 69 (1978), 344-348. http://dx.doi.org/10.1090/S0002-9939-1978-0486845-9.https://hdl.handle.net/1808/17185This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1978-0486845-9. First published in Proc. Amer. Math. Soc. in 1978, published by the American Mathematical Society.We give a combinatorial statement which is equivalent to the existence of an S space, and one equivalent to the existence of an L space, thus verifying the widespread intuition that the problem of S and L is essentially set-theoretic.S spaceL spacegraphArticle10.1090/S0002-9939-1978-0486845-9openAccess