Answers to Exercises

It isn’t that they can’t see the solution.It is that they can’t see the problem.

— G. K. CHESTERTON, The Scandal of Father Brown (1935)

Notes on the Exercises

1. A moderately easy problem for a mathematically inclined reader.

2. The author will reward you if you are first to report an error in the statement of an exercise or in its answer, assuming that he or she is suitably sagacious.

3. See H. Poincaré, Rendiconti del Circolo Matematico di Palermo 18 (1904), 45–110; R. H. Bing, Annals of Math. (2) 68 (1958), 17–37; G. Perelman, arXiv:math/0211159 [math.DG] (2002), 39 pages; 0303109 and 0307245 [math.DG] (2003), 22+7 pages.

Mathematical Preliminaries Redux

1. (a) A beats B in 5+0+5+5+0+5 cases out of 36; B beats C in ...

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