Geometric groups and Whitehead torsion
HTML articles powered by AMS MathViewer
- by E. H. Connell and John Hollingsworth PDF
- Trans. Amer. Math. Soc. 140 (1969), 161-181 Request permission
References
-
J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. 45 (1939), 243-327.
- J. H. C. Whitehead, Simple homotopy types, Amer. J. Math. 72 (1950), 1β57. MR 35437, DOI 10.2307/2372133 β, Simple homotopy types, Lectures at Math. Institute, Oxford, 1955.
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213β245. MR 30759, DOI 10.1090/S0002-9904-1949-09175-9
- John Milnor, On spaces having the homotopy type of a $\textrm {CW}$-complex, Trans. Amer. Math. Soc. 90 (1959), 272β280. MR 100267, DOI 10.1090/S0002-9947-1959-0100267-4 β, Whitehead torsion, mimeographed notes, Princeton Univ., Princeton, N. J., 1964.
- John Milnor, Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. (2) 74 (1961), 575β590. MR 133127, DOI 10.2307/1970299
- C. T. C. Wall, An obstruction to finiteness of $CW$-complexes, Bull. Amer. Math. Soc. 70 (1964), 269β270. MR 159332, DOI 10.1090/S0002-9904-1964-11114-9
- C. T. C. Wall, Finiteness conditions for $\textrm {CW}$-complexes, Ann. of Math. (2) 81 (1965), 56β69. MR 171284, DOI 10.2307/1970382
- S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387β399. MR 153022, DOI 10.2307/2372978
- Stephen Smale, Generalized PoincarΓ©βs conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391β406. MR 137124, DOI 10.2307/1970239
- Barry Mazur, Relative neighborhoods and the theorems of Smale, Ann. of Math. (2) 77 (1963), 232β249. MR 150786, DOI 10.2307/1970215
- Edwin E. Moise, Affine structures in $3$-manifolds. IV. Piecewise linear approximations of homeomorphisms, Ann. of Math. (2) 55 (1952), 215β222. MR 46644, DOI 10.2307/1969775
- R. H. Bing, An alternative proof that $3$-manifolds can be triangulated, Ann. of Math. (2) 69 (1959), 37β65. MR 100841, DOI 10.2307/1970092
- Morton Brown and Herman Gluck, Stable structures on manifolds. I. Homeomorphisms of $S^{n}$, Ann. of Math. (2) 79 (1964), 1β17. MR 158383, DOI 10.2307/1970481
- E. H. Connell, Approximating stable homeomorphisms by piecewise linear ones, Ann. of Math. (2) 78 (1963), 326β338. MR 154289, DOI 10.2307/1970346
- John R. Stallings, On infinite processes leading to differentiability in the complement of a point, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp.Β 245β254. MR 0180983
- Tatsuo Homma, On the imbedding of polyhedra in manifolds, Yokohama Math. J. 10 (1962), 5β10. MR 154287
- Herman Gluck, Embeddings in the trivial range, Ann. of Math. (2) 81 (1965), 195β210. MR 173243, DOI 10.2307/1970614
- F. T. Farrell and W.-C. Hsiang, $H$-cobordant manifolds are not necessarily homeomorphic, Bull. Amer. Math. Soc. 73 (1967), 741β744. MR 215311, DOI 10.1090/S0002-9904-1967-11856-1
- F. T. Farrell, The obstruction to fibering a manifold over a circle, Bull. Amer. Math. Soc. 73 (1967), 737β740. MR 215310, DOI 10.1090/S0002-9904-1967-11854-8
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 140 (1969), 161-181
- MSC: Primary 55.40
- DOI: https://doi.org/10.1090/S0002-9947-1969-0242151-8
- MathSciNet review: 0242151