Index
(a, b)-triple, 147
Abbott, H, 351
Accessible set, 303
Ackermann function, 45
Ackermann, W., 45
Alekseev, B., 350
Alon, N., 219
a (mod m)-progression, 183
Arithmetic progression, 12
Arithmetic progression (mod m),
183
Ascending wave, 104
Asymptotic notation, 10
Augmented progression, 168
Baudet’s conjecture, 65
Baumgartner, J., 349
Bergelson, V., 146, 249, 294
Berlekamp, E., 38
Bialostocki, A., xv, 249, 350
Big-O notation, 10
Boundedness conjecture, 258
Brakemeier, W., 350
Brown’s lemma, 319
Brown, T., 111, 146, 349
Burr, S., 294
(C, D)-polynomial, 177
Cantor’s diagonal argument, 27
Ceiling function, 11
Columns condition, 283, 294
Compactness principle, 27
Complete graph, 7
Composition function, 44, 127
Cubefree coloring, 326
Culprit, 33
Datskovsky, B., 248
Degree of accessibility, 306
Degree of regularity, 150, 162, 193
Derived coloring, 53
Descending wave, 81, 196
Deuber, W., 294, 295
Diameter (of a set), 342
Difference T -free, 321
Difference coloring, 19
Diffsequence, 303
Disjunctive Rado number, 293
Doublefree set, 302
Edge, 7
Edge-coloring, 7
End-focused, 54
Equinumerous coloring, 331
Erd˝ os and Tur´ an function, 47, 64
Erd˝ os, P., 19–21, 38, 45, 47, 51, 61,
64, 111, 146, 222, 248, 301
Erd˝ os-Ginzburg-Ziv theorem, 336,
341, 350
Ergodic theory, 64, 139, 146, 249
381
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