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Subfunction Structure

1969
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Proceedings of the American Mathematical Society
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Of prime interest to us here is Theorem 4 in the proof of which an interesting structure is revealed by (2) , (3), and (4). An easy consequence of Theorem 4 is Theorem 5 which embraces results of specific interest. One such result is Theorem B.4 stated and proved in the Amer. Math. Monthly 74 (1967), 773-776. Another such result1 is a Theorem of Erdös and Szekeres2 succinctly proved by A. Seidenberg in the J. London Math. Soc. 34 (1959), 352. In both these proofs a central trick appears and

doi:10.2307/2036993
fatcat:qakwixxvajdp3jpjdv4nocbuey