no. 3
Les voisinages ouverts réguliers : critères homotopiques d'existence
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 7 (1974) no. 3, pp. 431-461. 
@article{ASENS_1974_4_7_3_431_0,
     author = {Siebenmann, L. and Guillou, L. and H\"ahl, H.},
     title = {Les voisinages ouverts r\'eguliers : crit\`eres homotopiques d'existence},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {431--461},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 7},
     number = {3},
     year = {1974},
     doi = {10.24033/asens.1275},
     zbl = {0318.57011},
     mrnumber = {362324},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.24033/asens.1275/}
}
TY  - JOUR
AU  - Siebenmann, L.
AU  - Guillou, L.
AU  - Hähl, H.
TI  - Les voisinages ouverts réguliers : critères homotopiques d'existence
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1974
SP  - 431
EP  - 461
VL  - 7
IS  - 3
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1275/
DO  - 10.24033/asens.1275
LA  - fr
ID  - ASENS_1974_4_7_3_431_0
ER  - 
%0 Journal Article
%A Siebenmann, L.
%A Guillou, L.
%A Hähl, H.
%T Les voisinages ouverts réguliers : critères homotopiques d'existence
%J Annales scientifiques de l'École Normale Supérieure
%D 1974
%P 431-461
%V 7
%N 3
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1275/
%R 10.24033/asens.1275
%G fr
%F ASENS_1974_4_7_3_431_0
Siebenmann, L.; Guillou, L.; Hähl, H. Les voisinages ouverts réguliers : critères homotopiques d'existence. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 7 (1974) no. 3, pp. 431-461. doi : 10.24033/asens.1275. http://archive.numdam.org/articles/10.24033/asens.1275/

[A] R. D. Anderson, Topological properties of the Hilbert cube and the infinite product of open intervals (Trans. Amer. Math. Soc., vol. 126, 1967, p. 200-216). | MR | Zbl

[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, 1968, p. 771-792). | MR | Zbl

[AC] R. D. Anderson et J. D. Mc Charen, On extending homeomorphisms to Frechet manifolds (Proc. Amer. Math. Soc., vol. 25, 1970, p. 283-289). | MR | Zbl

[Bo1] K. Borsuk, Theory of Retracts, PWN, Warszawa, 1967. | MR | Zbl

[Bo2] K. Borsuk, Theory of shape, Aarhus Univ. (Lecture notes Séries, n° 28, 1971). | MR | Zbl

[Br] J. L. Bryant, Approximating embedding of polyhedra in codimension three (Trans. Amer. Math. Soc., vol. 170, 1972, p. 85-95). | MR | Zbl

[B-S] J. L. Bryant et C. L. Seebeck Iii, Locally nice embeddings in codimension three (Quart. J. Math., Oxford, vol. 21, 1970, p. 265-272). | MR | Zbl

[Ch1] T. Chapman, Compact Hilbert cube manifolds and the invariance of Whitehead torsion (Bull. Amer. Math. Soc., vol. 79, 1973, p. 52-56). | MR | Zbl

[Ch2] T. A. Chapman, Notices Amer. Math. Soc., vol. 19, 1972, p. A-810.

[Ch3] T. Chapman, Notes on Hilbert cube manifolds (miméo.) Univ. of Kentucky at Lexington, 1973.

[Co] M. M. Cohen, A general theory of relative regular neighborhoods (Trans. Amer. Math. Soc., vol. 136, 1969, p. 189-229). | MR | Zbl

[Do] A. Dold, Lectures on algebraic topology, Springer-Verlag, Berlin-Heidelberg-New-York, 1972. | MR | Zbl

[E] R. D. Edwards, Topological general position, preprint UCLA 1974.

[EW] S. Eilenberg et R. L. Wilder, Uniform local connectedness and contractibility (Amer. J. Math., vol. 64, 1942, p. 613-622). | MR | Zbl

[F] F. T. Farrell, The obstruction to fibering a manifold over a circle [Actes. Cong. Ind. Math., 1970 (Nice), tome 2, p. 69-72, Gauthier-Villars, 1971]. | MR | Zbl

[FA] R. H. Fox et E. Artin, Some wild cells and spheres in three dimensional space (Ann. of Math., (2), vol. 49, 1948, p. 979-990). | MR | Zbl

[F] R. H. Fox, On shape (Fund. Math., vol. 74, 1972, p. 47-71). | EuDML | MR | Zbl

[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, 1970, p. 25-33). | MR | Zbl

[Hd] J. F. P. Hudson, Piecewise-linear, Topology, W. A. Benjamin Inc., New-York et Amsterdam, 1969. | MR | Zbl

[HP] L. S. Hush et T. M. Price, Finding a boundary for a 3-manifold (Ann. of Math., (2), vol. 91, 1970, p. 223-235 et (2), vol. 93, 1971, p. 486-488). | MR | Zbl

[J] F. E. A. Johnson, Lefschetz duality and topological neighbourhoods (Trans. Amer. Math. Soc., vol. 172, 1972, p. 95-110). | MR | Zbl

[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., 1970.

[Mc2] D. R. Mc Millan Jr., A criterion for cellularity in a manifold II (Trans. Amer. Math. Soc., vol. 126, 1967, p. 217-224). | MR | Zbl

[Mil] R. T. Miller, Approximating codimension 3 embeddings (Ann. of Math., vol. 95, 1972, p. 406-416). | MR | Zbl

[Mi1] J. W. Milnor, On spaces having the homotopy type of CW-complex (Trans. Amer. Math. Soc., vol. 90, 1959, p. 272-280). | MR | Zbl

[Mi2] J. W. Milnor, Characteristic classes Notes, Appendix A, Princeton, Mars 1964.

[Sp] E. H. Spanier, Algebraic Topology, Mc Graw-Hill, 1966. | MR | Zbl

[S1] L. C. Siebenmann, The obstruction to finding a boundary for an open manifold of dimension > 5 (Thesis, Princeton 1965, Univ. Microfilms, Order n° 66-5012, Box 1346 Ann. Arbor, Michigan).

[S2] L. C. Siebenmann, Version de [S1] (à paraître).

[S3] L. C. Siebenmann, Open regular neighborhoods of compacta (Notices Amer. Math. Soc., vol. 14, 1967, n° 67 T-26, p. 135).

[S4] L. C. Siebenmann, The structure of tame ends (Notices Amer. Math. Soc., vol. 13, 1966, n° 66 T-531, p. 862).

[S5] L. C. Siebenmann, On detecting euclidean space homotopically among topological manifolds (Inventiones Math., vol. 6, 1968, p. 245-261). | EuDML | MR | Zbl

[S6] L. C. Siebenmann, On detecting open collars (Trans. Amer. Math. Soc., vol. 142, 1969, p. 201-227). | MR | Zbl

[S7] L. C. Siebenmann, A total Whitehead torsion obstruction to fibering over the circle (Comment. Math. Helv., vol. 45, 1970, p. 1-48). | EuDML | MR | Zbl

[S8] L. C. Siebenmann, Infinite simple homotopy type (Indag. Math., 32, n° 5, 1970, p. 479-495). | MR | Zbl

[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, 1970. | MR | Zbl

[S10] L. C. Siebenmann, Regular Open Neighborhoods, General Topology and its Application, vol. 3, 1973. | MR | Zbl

[S11] L. C. Siebenmann, L'invariance topologique du type simple d'homotopie [d'après T. Chapman et R. D. Edwards] (Séminaire Bourbaki, 1972-1973, exp. 428, Lecture Notes in Maths, 383, Springer Verlag, p. 195-210). | EuDML | Numdam | Zbl

[SGH] L. C. Siebenmann, L. Guillou et H. Hähl, Les voisinages ouverts réguliers (Ann. sci. Éc. Norm. Sup., 4e série, t. 6, 1973, p. 253-294). | EuDML | Numdam | MR | Zbl

[St1] J. Stallings, The piecewise linear structure of euclidean space (Proc. Cambridge Phil. Soc., vol. 58, 1962, p. 481-488). | MR | Zbl

[St2] J. Stallings, On topologically unknotted spheres (Ann. of Math.), vol. 77, 1963, p. 490-503). | MR | Zbl

[Wa1] C. T. C. Wall, Finiteness conditions for CW-complexes (Ann. of Math., (2), vol. 81, 1965, p. 56-69). | MR | Zbl

[Wa2] C. T. C. Wall, Finiteness conditions for CW-complexes II (Proc. Roy. Soc. (Great Britain), ser. A, vol. 295, 1966, p. 129-139). | MR | Zbl

[Wb] C. Weber, Quelques théorèmes bien connus sur les ANR et les CW-complexes (Enseignement Mathématique, (2), vol. 13, 1967, p. 211-222). | MR | Zbl

[Ws] J. E. West, Mapping cylinders of Hilbert cube factors (Gen. Topology Appl., vol. 1, 1971, p. 111-125). | MR | Zbl

[Z1] E. C. Zeeman, Seminar on combinatorial topology (mimeographed) Bures-sur-Yvette and U. of Warwick, 1963. | Zbl

[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, 1962. | MR | Zbl

[Z3] E. C. Zeeman, Unknotting combinatorial balls (Ann. of Math., vol. 78, 1963, p. 501-526). | MR | Zbl

[Ω] T. Chapman et L. Siebenmann, Finding a boundary for a Hilbert cube manifold, preprint, U. of Kentucky at Lexington, 1975. | Zbl

Cité par Sources :