Homotopically stratified sets
HTML articles powered by AMS MathViewer
- by Frank Quinn
- J. Amer. Math. Soc. 1 (1988), 441-499
- DOI: https://doi.org/10.1090/S0894-0347-1988-0928266-2
- PDF | Request permission
References
- Ethan Akin, Manifold phenomena in the theory of polyhedra, Trans. Amer. Math. Soc. 143 (1969), 413–473. MR 253329, DOI 10.1090/S0002-9947-1969-0253329-1
- Douglas R. Anderson and W. C. Hsiang, The functors $K_{-i}$ and pseudo-isotopies of polyhedra, Ann. of Math. (2) 105 (1977), no. 2, 201–223. MR 440573, DOI 10.2307/1970997
- Douglas R. Anderson and Wu Chung Hsiang, Extending combinatorial piecewise linear structures on stratified spaces. II, Trans. Amer. Math. Soc. 260 (1980), no. 1, 223–253. MR 570787, DOI 10.1090/S0002-9947-1980-0570787-8
- William Browder and Frank Quinn, A surgery theory for $G$-manifolds and stratified sets, Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975, pp. 27–36. MR 0375348
- David W. Carter, Lower $K$-theory of finite groups, Comm. Algebra 8 (1980), no. 20, 1927–1937. MR 590500, DOI 10.1080/00927878008822554
- T. A. Chapman, Lectures on Hilbert cube manifolds, Regional Conference Series in Mathematics, No. 28, American Mathematical Society, Providence, R.I., 1976. Expository lectures from the CBMS Regional Conference held at Guilford College, October 11-15, 1975. MR 0423357
- Marshall M. Cohen, A course in simple-homotopy theory, Graduate Texts in Mathematics, Vol. 10, Springer-Verlag, New York-Berlin, 1973. MR 0362320
- Edward Fadell, Generalized normal bundles for locally-flat imbeddings, Trans. Amer. Math. Soc. 114 (1965), 488–513. MR 179795, DOI 10.1090/S0002-9947-1965-0179795-4
- F. T. Farrell and W. C. Hsiang, The Whitehead group of poly-(finite or cyclic) groups, J. London Math. Soc. (2) 24 (1981), no. 2, 308–324. MR 631942, DOI 10.1112/jlms/s2-24.2.308
- Steve Ferry, A simple-homotopy approach to the finiteness obstruction, Shape theory and geometric topology (Dubrovnik, 1981) Lecture Notes in Math., vol. 870, Springer, Berlin-New York, 1981, pp. 73–81. MR 643523
- Michael H. Freedman and Frank Quinn, Topology of 4-manifolds, Princeton Mathematical Series, vol. 39, Princeton University Press, Princeton, NJ, 1990. MR 1201584
- W. C. Hsiang and William Pardon, When are topologically equivalent orthogonal transformations linearly equivalent?, Invent. Math. 68 (1982), no. 2, 275–316. MR 666164, DOI 10.1007/BF01394060
- Frank Quinn, Ends of maps. I, Ann. of Math. (2) 110 (1979), no. 2, 275–331. MR 549490, DOI 10.2307/1971262
- Frank Quinn, Finite nilpotent group actions on finite complexes, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977) Lecture Notes in Math., vol. 657, Springer, Berlin, 1978, pp. 375–407. MR 513560
- Frank Quinn, Intrinsic skeleta and intersection homology of weakly stratified sets, Geometry and topology (Athens, Ga., 1985) Lecture Notes in Pure and Appl. Math., vol. 105, Dekker, New York, 1987, pp. 233–249. MR 873296
- Frank Quinn, Algebraic $K$-theory of poly-(finite or cyclic) groups, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 2, 221–226. MR 776473, DOI 10.1090/S0273-0979-1985-15353-4
- L. C. Siebenmann, Deformation of homeomorphisms on stratified sets. I, II, Comment. Math. Helv. 47 (1972), 123–136; ibid. 47 (1972), 137–163. MR 319207, DOI 10.1007/BF02566793
- Mark Steinberger, The equivariant topological $s$-cobordism theorem, Invent. Math. 91 (1988), no. 1, 61–104. MR 918237, DOI 10.1007/BF01404913
- Mark Steinberger and James West, Equivariant $h$-cobordisms and finiteness obstructions, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 2, 217–220. MR 776472, DOI 10.1090/S0273-0979-1985-15351-0 —, Controlled finiteness is the obstruction to equivariant handle decomposition (preprint).
- R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969), 240–284 (French). MR 239613, DOI 10.1090/S0002-9904-1969-12138-5
- Andrei Verona, Stratified mappings—structure and triangulability, Lecture Notes in Mathematics, vol. 1102, Springer-Verlag, Berlin, 1984. MR 771120, DOI 10.1007/BFb0101672
- C. T. C. Wall, Finiteness conditions for $\textrm {CW}$-complexes, Ann. of Math. (2) 81 (1965), 56–69. MR 171284, DOI 10.2307/1970382
Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: J. Amer. Math. Soc. 1 (1988), 441-499
- MSC: Primary 57N37; Secondary 57N80, 57R80, 57S17
- DOI: https://doi.org/10.1090/S0894-0347-1988-0928266-2
- MathSciNet review: 928266