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Table des matières de ce fascicule | Article précédent Siebenmann, L.; Guillou, L.; Hähl, H. Les voisinages ouverts réguliers : critères homotopiques d'existence. Annales scientifiques de l'École Normale Supérieure, Sér. 4, 7 no. 3 (1974), p. 431-461 Texte intégral djvu | pdf | Analyses MR 50 #14766 | Zbl 0318.57011 | 3 citations dans Numdam URL stable: http://www.numdam.org/item?id=ASENS_1974_4_7_3_431_0 Bibliographie [AB] R. D. ANDERSON et R. H. BING, A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines (Bull. Amer. Math. Soc., vol. 74, Article | MR 37 #5847 | Zbl 0189.12402 [AC] R. D. ANDERSON et J. D. MC CHAREN, On extending homeomorphisms to Frechet manifolds (Proc. Amer. Math. Soc., vol. 25, [Bo1] K. BORSUK, Theory of Retracts, PWN, Warszawa, [Bo2] K. BORSUK, Theory of shape, Aarhus Univ. (Lecture notes Séries, n° 28, [Br] J. L. BRYANT, Approximating embedding of polyhedra in codimension three (Trans. Amer. Math. Soc., vol. 170, [B-S] J. L. BRYANT et C. L. SEEBECK III, Locally nice embeddings in codimension three (Quart. J. Math., Oxford, vol. 21, [Ch1] T. CHAPMAN, Compact Hilbert cube manifolds and the invariance of Whitehead torsion (Bull. Amer. Math. Soc., vol. 79, Article | MR 49 #11518 | Zbl 0251.57004 [Ch2] T. A. CHAPMAN, Notices Amer. Math. Soc., vol. 19, [Ch3] T. CHAPMAN, Notes on Hilbert cube manifolds (miméo.) Univ. of Kentucky at Lexington, [Co] M. M. COHEN, A general theory of relative regular neighborhoods (Trans. Amer. Math. Soc., vol. 136, [Do] A. DOLD, Lectures on algebraic topology, Springer-Verlag, Berlin-Heidelberg-New-York, [E] R. D. EDWARDS, Topological general position, preprint UCLA [EW] S. EILENBERG et R. L. WILDER, Uniform local connectedness and contractibility (Amer. J. Math., vol. 64, [F] F. T. FARRELL, The obstruction to fibering a manifold over a circle [Actes. Cong. Ind. Math., [FA] R. H. FOX et E. ARTIN, Some wild cells and spheres in three dimensional space (Ann. of Math., (2), vol. 49, [F] R. H. FOX, On shape (Fund. Math., vol. 74, Article | MR 45 #5973 | Zbl 0232.55023 [GH] L. GUILLOU et H. HÄHL, Les voisinages réguliers ouverts : critères homotopiques d'identification (à paraître). [He] D. W. HENDERSON, Infinite-dimentional manifolds are open subsets of Hilbert space (Topology, vol. 9, [Hd] J. F. P. HUDSON, Piecewise-linear, Topology, W. A. Benjamin Inc., New-York et Amsterdam, [HP] L. S. HUSH et T. M. PRICE, Finding a boundary for a 3-manifold (Ann. of Math., (2), vol. 91, [J] F. E. A. JOHNSON, Lefschetz duality and topological neighbourhoods (Trans. Amer. Math. Soc., vol. 172, [KS1] R. C. KIRBY et L. C. SIEBENMANN, Deformation of smooth and piecewise linear manifold structures II, Sliced families (preprint). [KS2] R. C. KIRBY et L. C. SIEBENMANN, Some basic theorems about topological manifolds (preprint). [Mc1] D. R. MC MILLAN Jr., UV-properties and related topics, Notes of B. J. SMITH (mimeographed) Florida State Univ., [Mc2] D. R. MC MILLAN Jr., A criterion for cellularity in a manifold II (Trans. Amer. Math. Soc., vol. 126, [Mil] R. T. MILLER, Approximating codimension 3 embeddings (Ann. of Math., vol. 95, [Mi1] J. W. MILNOR, On spaces having the homotopy type of CW-complex (Trans. Amer. Math. Soc., vol. 90, [Mi2] J. W. MILNOR, Characteristic classes Notes, Appendix A, Princeton, Mars [Sp] E. H. SPANIER, Algebraic Topology, Mc Graw-Hill, [S1] L. C. SIEBENMANN, The obstruction to finding a boundary for an open manifold of dimension > 5 (Thesis, Princeton [S2] L. C. SIEBENMANN, Version de [S1] (à paraître). [S3] L. C. SIEBENMANN, Open regular neighborhoods of compacta (Notices Amer. Math. Soc., vol. 14, [S4] L. C. SIEBENMANN, The structure of tame ends (Notices Amer. Math. Soc., vol. 13, [S5] L. C. SIEBENMANN, On detecting euclidean space homotopically among topological manifolds (Inventiones Math., vol. 6, [S6] L. C. SIEBENMANN, On detecting open collars (Trans. Amer. Math. Soc., vol. 142, [S7] L. C. SIEBENMANN, A total Whitehead torsion obstruction to fibering over the circle (Comment. Math. Helv., vol. 45, [S8] L. C. SIEBENMANN, Infinite simple homotopy type (Indag. Math., 32, n° 5, [S9] L. C. SIEBENMANN, Disruption of low-dimensional handlebody theory by Rohlin's theorem, p. 57-76 in Topology of Manifolds édité par J. C. CANTRELL et C. H. EDWARDS MARKHAM, Chicago, [S10] L. C. SIEBENMANN, Regular Open Neighborhoods, General Topology and its Application, vol. 3, [S11] L. C. SIEBENMANN, L'invariance topologique du type simple d'homotopie [d'après T. CHAPMAN et R. D. EDWARDS] (Séminaire Bourbaki, Numdam | Zbl 0293.57007 [SGH] L. C. SIEBENMANN, L. GUILLOU et H. HÄHL, Les voisinages ouverts réguliers (Ann. sci. Éc. Norm. Sup., 4e série, t. 6, Numdam | MR 48 #9732 | Zbl 0294.57009 [St1] J. STALLINGS, The piecewise linear structure of euclidean space (Proc. Cambridge Phil. Soc., vol. 58, [St2] J. STALLINGS, On topologically unknotted spheres (Ann. of Math.), vol. 77, [Wa1] C. T. C. WALL, Finiteness conditions for CW-complexes (Ann. of Math., (2), vol. 81, [Wa2] C. T. C. WALL, Finiteness conditions for CW-complexes II (Proc. Roy. Soc. (Great Britain), ser. A, vol. 295, [Wb] C. WEBER, Quelques théorèmes bien connus sur les ANR et les CW-complexes (Enseignement Mathématique, (2), vol. 13, [Ws] J. E. WEST, Mapping cylinders of Hilbert cube factors (Gen. Topology Appl., vol. 1, [Z1] E. C. ZEEMAN, Seminar on combinatorial topology (mimeographed) Bures-sur-Yvette and U. of Warwick, [Z2] E. C. ZEEMAN, The Poincaré conjecture for n ≧ 5, p. 198-204 in Topology of 3-manifolds, M. K. FORT Jr. Editor, Prentice-Hall, [Z3] E. C. ZEEMAN, Unknotting combinatorial balls (Ann. of Math., vol. 78, [Ω] T. CHAPMAN et L. SIEBENMANN, Finding a boundary for a Hilbert cube manifold, preprint, U. of Kentucky at Lexington, |
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