×

Resolutions of generalized polyhedral manifolds. (English) Zbl 0455.57008


MSC:

57Q25 Comparison of PL-structures: classification, Hauptvermutung
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. F. ADAMS, A variant of E. H. Brown’s representability theorem, Topology 10(1970), 185-198. · Zbl 0197.19604 · doi:10.1016/0040-9383(71)90003-6
[2] G. A. ANDERSON, Computation of the surgery obstruction groups Lik(l; Zp), Pacific J. Math. 74 (1978), 1-4. · Zbl 0369.57014 · doi:10.2140/pjm.1978.74.1
[3] G. A. ANDERSON, Groups of PL -homology spheres, Trans. Amer. Math. Soc. 241 (1978), 55-67. JSTOR: · Zbl 0355.57009 · doi:10.2307/1998832
[4] G. A. ANDERSON, -homology cobordism bundles, (to appear) Zentralblatt MATH: · Zbl 0438.57009 · doi:10.2140/pjm.1980.87.245
[5] G. A. ANDERSON, Groups of Euler spheres, (preprint)
[6] E. H. BROWN, Cohomology theories, Ann. of Math. 75 (1962), 467-484 JSTOR: · Zbl 0101.40603 · doi:10.2307/1970209
[7] M. M. COHEN, Simplicial structures and transverse cellularity, Ann. of Math. 85 (1967), 218-245. JSTOR: · Zbl 0147.42602 · doi:10.2307/1970440
[8] M. M. COHEN, A general theory of regular neighborhoods, Trans. Amer. Math. Soc 136 (1969), 189-229. JSTOR: · Zbl 0182.57602 · doi:10.2307/1994710
[9] M. M. COHEN, Homeomorphisms between homotopy manifolds and their resolutions, Invent. Math. 10 (1970), 239-259. · Zbl 0202.22905 · doi:10.1007/BF01403251
[10] A. L. EDMONDS AND R. J. STERN, Resolutions of homology manifolds: a classificatio theorem, J. London Math. Soc. 11 (1975), 474-480. · Zbl 0312.57007 · doi:10.1112/jlms/s2-11.4.474
[11] S. HALPERN AND D. TOLEDO, Stiefel-Whitney homology classes, Ann. of Math. 95 (1972), 512-535. · Zbl 0255.57007
[12] J. F. P. HUDSON, Piecewise Linear Topology, Benjamin, 1969 · Zbl 0189.54507
[13] M. KATO, A partial Poincare duality for -regular spaces and complex algebraic sets, Topology 16 (1977), 33-50. · Zbl 0367.14009 · doi:10.1016/0040-9383(77)90029-5
[14] M. KATO, Topology of fc-regular spaces and algebraic sets, in Manifolds-Tokyo (1973), Kinokuniya, Tokyo, 1975. · Zbl 0341.57012
[15] M. KERVAIRE, Smooth homology spheres and their fundamental groups, Trans. Amer Math. Soc. 144 (1969), 67-72. · Zbl 0187.20401 · doi:10.2307/1995269
[16] F. LATOUR, Resolutions de varietes d’homology rationelle:Existence de resolutions, C. R. Acad. Sci. Paris 280 (1975), A1105-A1108. · Zbl 0309.57005
[17] S. LEFSHETZ, Topology, Amer. Math. Soc. Colloquium Publ. Vol. XII, 1930
[18] N. MARTIN, On the difference between homology and piecewise-linear bundles, J. Londo Math. Soc. 6 (1973), 197-204. · Zbl 0249.57007 · doi:10.1112/jlms/s2-6.2.197
[19] C. R. F. MAUNDER, Algebraic Topology, Van Nostrand, 1970
[20] C. R. F. MAUNDER, General position theorems for homology manifolds, J. London Math Soc. 4 (1972), 760-768. · Zbl 0235.57009 · doi:10.1112/jlms/s2-4.4.760
[21] C. R. F. MAUNDER, An i-cobordism theorem for homology manifolds, Proc. Londo Math. Soc. 25 (1972), 137-155. · Zbl 0248.57005 · doi:10.1112/plms/s3-25.1.137
[22] J. W. MILNOR, Microbundles I, Topology 3 (Supp. 1) (1964), 53-80 · Zbl 0124.38404 · doi:10.1016/0040-9383(64)90005-9
[23] H. SEIFERT AND W. THRELFALL, Lehrbuch der Topologie, B. G. Teubner Verlagsgesell schaft, Leipzig, 1934.
[24] D. STONE, Stratified Polyhedra, Lecture Notes in Math. 252, Springer-Verlag, 1972 · Zbl 0281.57012 · doi:10.1007/BFb0058584
[25] D. P. SULLIVAN, Triangulating Homotopy Equivalences, Ph. D. Dissertation, Princeto University, 1966.
[26] D. P. SULLIVAN, Combinatorial invariants of analytic spaces, in Proc. Liverpool Singu larities’- Symp I, Lecture Notes in Math. 192, Springer-Verlag, (1971). · Zbl 0227.32005
[27] D. P. SULLIVAN, Singularities in space, in Proc. Liverpool Singularities:Symp. II, Lecture Notes in Math. 209, Springer-Verlag, (1971). · Zbl 0233.57006
[28] C. T. C. WALL, Arithmetic invariants of subdivisions of complexes, Canad. J. Math 18 (1966), 92-96. · Zbl 0151.33202 · doi:10.4153/CJM-1966-012-9
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.