Index ∼−, 499 ∼+, 499 A∗ (M), 224 A∗ (M, ), 224 (U), 9 absolutely continuous, 88 abutment, 125 abuts, 125 adequate neighborhood, 314 adjoint operator, see also operator(s) admissible imbedding, see also imbedding admissible surface, see also surface Alcalde Cuesta, F., 286 Alexander, J., 261, 289 algebra, 406 anticommutative, 177 Banach, 406 involutive, 408 C∗-, see also C∗-algebra Chern, 178, 181, 184 graded commutative, 177 tensor product, 196 Pontryagin, 178, 181, 185 representations of, 410–415 containment of, 411 cyclic, 411 definition of, 410 direct integral of, 411 direct sum of, 411 faithful, 411 involutive, 410 irreducible, 412 nondegenerate, 410 topologically irreducible, 412 unitarily equivalent, 411 weak containment of, 413 truncated polynomial, 196 von Neumann, 52, 422 ´ Alvarez L´ opez, J. A., 131, 494 ambient isotopy, 502 Anosov diffeomorphism, 120 anticommutative algebra, see also algebra approximate unit, 409 Bk, g 126 (H), 407 (X, Y ), 400 Ballantine ale rings, 337 Banach algebra, see also algebra Banach space, 399 barycenter, 259 barycentric subdivision, see also subdivision basic connection, see also connection Bauer maximum principle, 106 bee, 483 Bishop’s comparison theorem, 430 Blank, S., 326 blow up nicely, 385 Blumenthal’s zero-one law, 473 Bogoliuboff, N., 67, 108 Borel σ-field, 461 map, 124 measure, see also measure(s) set, 123 transversal, 42, 47 Borromean rings, 337, 347 Bott connection, see also connection Bott vanishing theorem, 187–192 statement, 188 Bott, R., 7, 139, 187 boundary of subcomplex, 126 bounded domain, see also domain bounded geometry, 428 bounded operator, see also operator(s) Bourbaki, N., 400 branch point, 499

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