@incollection{SB_1981-1982__24__219_0, author = {Siebenmann, Laurent}, title = {La conjecture de {Poincar\'e} topologique en dimension 4}, booktitle = {S\'eminaire Bourbaki : volume 1981/82, expos\'es 579-596}, series = {Ast\'erisque}, note = {talk:588}, pages = {219--248}, publisher = {Soci\'et\'e math\'ematique de France}, number = {92-93}, year = {1982}, mrnumber = {689532}, zbl = {0533.57006}, language = {fr}, url = {http://www.numdam.org/item/SB_1981-1982__24__219_0/} }
TY - CHAP AU - Siebenmann, Laurent TI - La conjecture de Poincaré topologique en dimension 4 BT - Séminaire Bourbaki : volume 1981/82, exposés 579-596 AU - Collectif T3 - Astérisque N1 - talk:588 PY - 1982 SP - 219 EP - 248 IS - 92-93 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1981-1982__24__219_0/ LA - fr ID - SB_1981-1982__24__219_0 ER -
%0 Book Section %A Siebenmann, Laurent %T La conjecture de Poincaré topologique en dimension 4 %B Séminaire Bourbaki : volume 1981/82, exposés 579-596 %A Collectif %S Astérisque %Z talk:588 %D 1982 %P 219-248 %N 92-93 %I Société mathématique de France %U http://www.numdam.org/item/SB_1981-1982__24__219_0/ %G fr %F SB_1981-1982__24__219_0
Siebenmann, Laurent. La conjecture de Poincaré topologique en dimension 4, in Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Talk no. 588, 30 p. http://www.numdam.org/item/SB_1981-1982__24__219_0/
[Anc] Nowhere dense tame 0-dimensional decompositions of S4 ; an exposition of a theorem of Mike Freedman, manuscript 1981, cf. [Anc*] below.
,[AnC] Locally flat approximation of cell-like embedding relations, Ann. of Math. 109 (1979), 61-86. | MR | Zbl
and ,[AnR] Some spaces whose product with E1 is E4 , Bull. Amer. Math. Soc. 71 (1965), 675-677. | MR | Zbl
and ,[Ar] Cellular decompositions of 3-manifolds that yield 3-manifolds, Memoirs Amer. Math. Soc. 107 (1970). | MR | Zbl
,[ArB] A toroidal decomposition of E3 , Fund. Math. 60 (1967), 81-87. | EuDML | MR | Zbl
and ,[Bi1] A homeomorphism between the 3-sphere and the sum of two solid horned spheres , Ann. of Math. 56 (1952), 354-362. | MR | Zbl
,[Bi2] Upper semicontinuous decompositions of E3 , Ann. of Math. 65 (1957), 363-374. | MR | Zbl
,[Bi3] The cartesian product of a certain non manifold and a line is E4, Ann. of Math. 70 (1959), 399-412. | MR | Zbl
,[Bi4] Decompositions of E3 , pages 5-12 in Topology of 3-manifolds, editor , Prentice-Hall, 1962. | MR
,[Br ] Surgery on simply-connected manifolds, Ergebnisse der Math. Band 65, Springer 1972. | MR | Zbl
,[Br1] A proof of the generalized Shoenflies theorem, Bull. Amer. Math. Soc. 66 (1960), 74-76. | MR | Zbl
,[Br2] Locally flat embeddings of topological manifolds, Ann. of Math. 75 (1962), 331-342 ; also Topology of 3-manifolds, Prentice-Hall (1962). | MR | Zbl
,[CaF] Atomic surgery problems, Preprint U.C. San Diego, 1978-79. | MR
and ,[CaG] Three lectures on new infinite constructions in 4-dimensional manifolds, Notes prepared by , Prépublications Orsay 81 T 06.
,[Ch] Lectures on Hilbert cube manifolds, Regional conference, series n° 28, Amer. Math. Soc. 1976. | MR | Zbl
,[Do] Plongement de sphères [d'après Mazur et Brown] , Séminaire Bourbaki (1960-61), exposé n° 205, Benjamin, New-York. | Numdam | Zbl
,[Edw1] Dimension theory, pages 195-211 in Geometric topology, Proceedings Park City Utah Conf. 1974, Springer lecture notes 438 (1975). | MR | Zbl
,[Edw2] Approximating certain cell-like maps by homeomorphisms, Manuscript, July 1977 (voir [Lat]).
,[Edw3] Characterizing infinite dimensional manifolds [after ] Sém. Bourbaki (1978-79), n° 540.
,[FrM] Arnold Shapiro's eversion of the sphere, Math. Intelligencer 2 (1980), 200-203. | Zbl
and ,[Fr1] A fake S3 × R , Ann. of Math. 110 (1979), 177-201. | MR | Zbl
,[Fr2] A surgery sequence in dimension 4, the relations with knot theory, Inventiones Math. 1982. | Zbl
,[Fr3] The topology of 4-dimensional manifolds , preprint, Mar. 1982, Univ. of Calif. San Diego ; to appear in J. of Differential Geometry, 1982. | MR | Zbl
,[KeM] Groups of homotopy spheres, I, Ann. of Math. 77 (1963), 504-537. | MR | Zbl
and ,[KiS] Foundational essays on topological manifolds, smoothings and triangulations, Ann. of Math. Studies 88, Princeton , University Press, 1977. | MR | Zbl
and ,[Lat] Double suspension d'une sphère d'homologie [d'après R.D. Edwards] Sémin. Bourbaki (1977-78), exposé n° 515. | Numdam | Zbl
,[Man] Four-dimensional topology, Bull. Amer. Math. Soc. 2 (1980), 1-160. | MR | Zbl
,[MV] A general proof for Bing's shrinkability criterion Proc. Amer. Math. Soc. 53 (1975), 501-507. | MR | Zbl
and ,[Maz] On embeddings of spheres, Bull. Amer. Math. Soc. 65 (1959), 59-65. | MR | Zbl
,[Mi 1] On manifolds homeomorphic to the 7-sphere, Ann. of Math. 64 (1956), 399-405. | MR | Zbl
,[Mi2] Lectures on the h-cobordism theorem, Princeton Mathematical Notes, 1965. | MR | Zbl
,[MiH] Symmetric bilinear forms, Springer 1973. | MR | Zbl
and ,[Mor] Le lemme de Thom et les théoremes de plongement de Whitney, H. Cartan 1961/62 exposés 4 - 7 , Secrétariat Math. , Paris, 1964. | Numdam | Zbl
,[Poi1] E, Second complément à l'analysis situs, Proc. London Math. Soc. 32 (1900), 277-308 (voir fin). | JFM
[Poi2] Cinquième complément à l'analysis situs, Rendiconti del Circolo Mat. Palermo 18 (1904), 45-110, et Oeuvres VI, pages 439-498 (voir début et fin). | JFM
,[ Si 1] Infinite simple homotopy types, Indag. math. 32 (1970), 479-495. | MR | Zbl
,[Si2] Approximating cellular maps by homeomorphisms, Notices Amer. Math. Soc. 17 (1970), p. 532, and Topology 11 (1973). | MR | Zbl
,[Si3] Deformation of homeomorphisms on stratified sets, Comment. Math. Helv. 47 (1972), 123-163. Note errata in §6.25, p. 158 : on line 10, N becomes B ; on lines 23,24,25 F12 becomes Ft2 . | MR | Zbl
,[Si4] Amorces de la chirurgie en dimension 4, un S3 x R exotique (d'après A. Casson et M.H. Freedman), Sém. Bourbaki (1978-79), n° 536. | Numdam
,[Sm] Generalized Poincaré' s conjecture in dimensions > 4 , Ann. of Math. 74 (1961), 391-466. | MR | Zbl
,[Stn] Approximation of imbeddings of compacta in codimension greater than two, Dokl. Akad. Nauk. USSR 198 (1971), 783-786 (russian), English translation, Soviet. Math. Dokl. 12 (1971), 906-909. | MR | Zbl
,[Tor] Characterizing Hilbert space topology, Preprint 143, Institute of Math., Polish Academy of Sciences, 1978. | MR
,[Wa] On simply connected -manifolds, Proc. London Math. Soc. 39 (1964), 141-149. | MR | Zbl
,[Wh1] Certain theorems about three-dimensional manifolds, I, Quart. J. Math. 5 (1935), 308-320. | Zbl
,[Wh2] A certain open manifold whose group is unity, Quart. J. Math. 6 (1935), 268-279. | Zbl
,[Anc*] A tame -dimensional cell-like map of $S4$ with a bald spot is approximable by homeomorphisms, manuscript in preparation (June 1982)
,