A setting for a theorem of bott.
Inspired by Theorem A of Raoul Bott,(1) Morse and Cairns(2) have stated Corollary 23.3 below, a theorem of essentially the same character as Theorem A of Bott. The symbol [unk] in Corollary 23.3 means that the sets to the left and right of [unk] have the same homotopy type in the sense of Hilton (ref. 3, p. 3). Corollary 23.3 gives a setting to Bott's theorem in the theory of "bowls" introduced by Morse. The object of this note is to clarify and reinterpret the analysis presented as proof of Corollary 23.3 in reference 2.
INSTITUTE FOR ADVANCED STUDY, PRINCETON, NEW JERSEY.
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