Index (AV, d)-module, 144 3-manifold category of, 279, 281 irreducible, 279, 280 prime, 279 A*(X), 131 CWu 106 P-equivalence criteria for, 109, 126 of groups, 107 of spaces, 109 P-local group, 107 space, 108 P-localization homomorphism, 107 map, 108 P-localization map criteria for, 108 AV, 132 QiyE\ 124 unpointed version, 124 Crit(M), 7, 217 *£,174 A-Hopf invariant, 196 A-category, 122, 195 of skeleta, 201 Ab-category, 122, 195 Qcat, 123, 197, 227, 251 and category weight, 248 a cat and category weight, 248 cr-category, 60, 62, 122, 124 and degree 1 maps, 65 and rationalization, 69 of a domination, 61 of product of Moore spaces, 61 a*-category, 60 Crit(M), 226 Q*cat, 123 absolute neighborhood retract, 287 abstract category, 33 compared to strong abstract category, continuous, 34 strong, 36 action functional, 238 algebraic P-equivalence, 107 pullback, 137 pushout, 136 algorithm tree, 263, 284 almost complex structure compatible, 235 ANR, 287 Arnold conjecture, 236 for Lagrangian intersections, 246 and Qcat, 247 for symplectically aspherical manifolds, 245 axioms and category, 33, 36 ball category, 75 Barratt-Puppe sequence, 296 basepoint non-degenerate, 296 Blakers-Massey theorem, 301 Bochner inequality, 252 bounded orbits, 239 bouquet garni, 22 braid group, 266 categorical cover, 1 based, 14 for a map, 43 of torus, 40 categorical filling, 100 categorical sequence, 17 category a, 60 Ganea criterion, 25 Ganea definition of, 31 Whitehead def=open def, 24 Whitehead definition of, 22 abstract, 33 and Qcat, 197 and Bochner inequality, 252 and Mislin genus, 115 325
Previous Page Next Page