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Tom
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63--90
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Bibliogr. 86 poz., rys.
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autor
- Wrocław
Bibliografia
- [1] D. Barden, The structure of manifolds, Ph.D. thesis, Cambridge Univ., 1963.
- [2] R. H. Bing, Necessary and sufficient conditions that a 3-manifold be S3, Ann. of Math. 68 (1958), 17-37.
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- [4] R. H. Bing, Some aspects of the topology of 3-manifolds related to the Poincaré Conjecture, Lectures on Modern Mathematics, Vol. II, 93-128.
- [5] R. H. Bing, Mapping a sphere onto a homotopy 3-sphere, Topology Seminar Wisconsin 1965, 89-99.
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- [12] M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), 357-453. MR 84b:57006.
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- [17] P. Hajłasz, Equivalent statement of the Poincaré conjecture, Ann. Mat. Pura Appl. (4) 167 (1994), 25-31. MR 95k:57015.
- [18] W. Haken, On homotopy 3-spheres, Illinois J. Math. 10 (1966), 159-180.
- [19] W. Haken, Some results on surfaces in 3-manifolds, MAA Stud. Math., vol. V, 39-98.
- [20] Bai He, A proof of 3-dimensional Poincaré conjecture, J. Math. Res. Exposition 13 (1993), 241-244. MR 94d:57032.
- [21] J. Hempel, 3-Manifolds, Ann. Math. Stud. 86, Princeton Univ. Press, Princeton, N.J., 1976. MR 54#3702.
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- [24] J. F. P. Hudson, Piecewise Linear Topology, Benjamin, New York, 1969.
- [25] M. Kervaire, A manifold which does not admit any differentiable structure; Comment. Math. Helv. 34 (1960), 257-270.
- [26] M. Kervaire, Le théorème de Barden-Mazur-Stallings, ibid. 40 (1965), 31-42.
- [27] M. Kervaire, J. Milnor, Groups of homotopy spheres, Ann. of Math. 77 (1963), 504-537.
- [28] K. Koseki, Poincarésche Vermutung in Topologie, Math. J. Okayama Univ. 8 (1958), 1-106.
- [29] K. Koseki, Bemerkung zu meiner Arbeit „Poincarésche Vermutung”, ibid. 9 (1959/60), 165-172.
- [30] W. B. R. Liсkorish, An improbable collapse, Topology 12 (1973), 5-8.
- [31] G. R. Livesay, Fixed point free involutions of the 3-sphere, Ann. of Math. 72 (1960), 603-611.
- [32] A. Markow, О nierazreszimosti niekotorych problem topologii, Dokl. Akad. Nauk SSSR 123 (1958), 978-980 (po rosyjsku).
- [33] A. Markow, Insolvability of the problem of homeomorphy, Proc. Internat. Congress of Mathematicians 1958, Cambridge, 1960, 300-306.
- [34] S. V. Matveev, Algorithms for the recognition of the three-dimensional sphere after Thompson), Mat. Sb. 186.5 (1995), 69-84 (po rosyjsku). MR 96g:57016.
- [35] S. V. Matveev, A. T. Fomenko, Algorithmic and computer methods in three-dimensional topology, Moskov. Gos. Univ., Moscow, 1991 (porosyjsku). MR 93f:57002.
- [36] B. Mazur, Relative neighbourhoods and the theorems of Smale, Ann. of Math. 77 (1963), 232-249.
- [37] D. R. McMillan, Jr., Some contractible open 3-manifolds, Trans. Amer. Math. Soc. 102 (1962), 373-382.
- [38] J. Milnor, On manifolds homeomorphic to the 7-sphere, Ann. of Math. 64 (1956), 399-405.
- [39] J. Milnor, Morse Theory, Princeton, 1963.
- [40] J. Milnor, Lectures on the h-Cobordism Theorem, Princeton, 1965.
- [41] J. Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358-426.
- [42] J. Milnor, The work of M. H. Freedman, w książce: Proc. Internat. Congress of Mathematicians, Berkeley, 1986, 13-15.
- [43] E. E. Moise, Affine structures in 3-manifolds, V. The triangulation problem and Hauptvermutung, Ann. of Math. 56 (1952), 96-114.
- [44] M. H. A. Newman, The engulfing theorem for topological manifolds, Ann. of Math. (2) 84 (1966), 555-571. MR 34#3557.
- [45] C. D. Papakyriokopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. 66 (1957), 1-26.
- [46] C. D. Papakyriokopoulos, On solid tori, Proc. London Math. Soc. 7 (1957), 281-299.
- [47] C. D. Papakyriokopoulos, Reduction of the Poincaré Conjecture to other conjectures, Bull. Amer. Math. Soc. 68 (1962), 360-366.
- [48] V. Poénaru, Quelques remarques sur les diagrammes de Heegard, Ann. Scuola Norm. Sup. Pisa 24 (1970), 37-52.
- [49] V. Poénaru, Sur la structure des sphères d’homotopie lisses en dimension 3, Publ. Math. d’Orsay, Juin 1971 (preprint).
- [50] V. Poénaru, Infinite processes and the 3-dimensional Poincaré Conjecture: An outline of the proof (preprint).
- [51] V. Poénaru, Infinite processes and the 3-dimensional Poincaré Conjecture: An outline of the outline of the proof, preprint 89-06, Univ. Paris XI, Orsay, 1989.
- [52] V. Poénaru, The collapsible pseudo-spine representation theorem, Topology 31 (1992), 625-656. MR 93i:57015.
- [53] H. Poincaré, Analysis Situs, J. École Polytech. 1 (1895), 1-121. (Istnieje przekład rosyjski prac Poincarégo: H. Poincaré, Izbrannyje trudy, Moskwa, 1972.).
- [54] H. Poincaré, lr Complément de l’analysis situs, Rend. Circ. Mat. Palermo 13 (1899), 285-343.
- [55] H. Poincaré, 2d Complément, Proc. London Math. Soc. 32 (1900), 277-308.
- [56] H. Poincaré, 3e Complément, Bull, Soc. Math. France 30 (1902), 49-70.
- [57] H. Poincaré, 4e Complément, J. Math. Pures Appl. 8 (1902), 169-214.
- [58] H. Poincaré, 5e Complément, Rend. Circ. Math. Palermo 18 (1094), 45-110.
- [59] K. Reidemeister, Homotopieringe von Linsenräume, Abh. Math. Sem. Univ. Hamburg 11 (1935), 102-109.
- [60] C. Rourke, Characterization of the three-sphere following Haken, Turkish J. Math. 18 (1994), 60-69. MR 95b:57014.
- [61] J. H. Rubinstein, The solution to the recognition problem for S3, Lectures, Haifa (Israel), May 1992.
- [62] J. H. Rubinstein, An algorithm to recognize the 3-sphere, Proc. Internat. Congress of Mathematicians, Zurich, 1994 (Switzerland), Birkhäuser, Basel, 1995.
- [63] H. Seifert, W. Threlfall, Lehrbuch der Topologie, Leipzig, 1934.
- [64] S. Smale, The generalized Poincaré Conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373-376.
- [65] S. Smale, Generalized Poincaré Conjecture in dimensions greater than four, Ann. of Math. 74 (1961), 391-406.
- [66] S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387-399.
- [67] S. Smale, The story of the higher dimensional Poincaré conjecture (What actually happened on the beaches of Rio), w książce [22], 27-40.
- [68] J. Stallings, Polyhedral homotopy spheres, Bull. Amer. Math. Soc. 66 (1960), 485-488.
- [69] J. Stallings, How not to prove the Poincaré Conjecture, Topology Seminar Wisconsin 1965, 83-88.
- [70] J. Stallings, Lectures on Polyhedral Topology, Technical Report, Tata Inst, of Fundamental Research, Bombay, 1967. (Notes by G. Ananada Swarup).
- [71] G. Taubes, What happens when Hubris meets Nemesis, Discover, July 1987.
- [72] R. Thom, Sur les travaux de Stephen Smale, w książce: Trudy Meżdunarodnowo Kongresa Matematikow, Moskwa, 1966, Mir, Moskwa, 1968, 25-28.
- [73] A. Thompson, Algorithmic recognition of 3-manifolds, Bull. Amer. Math. Soc. 35 (1998), 57-66.
- [74] K. Volkert, The early history of Poincaré conjecture, w książce: Henri Poincaré: science et philosophie, Publ. Henri Poincaré Arch., Akademie Verlag, Berlin, 1996, 241-250. MR 97e:01013.
- [75] A. H. Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960), 503-528.
- [76] A. H. Wallace, Modifications and cobounding manifolds II, J. Math. Mech. 10 (1961), 773-809.
- [77] J. H. C. Whitehead, Certain theorems about three-dimensional manifolds, I, Quart. J. Math. Oxford 5 (1934), 308-320.
- [78] J. H. C. Whitehead, Three-dimensional manifolds (corrigendum), ibid. 6 (1935), 80.
- [79] J. H. C. Whitehead, A certain open manifold whose group is unity, ibid. 6 (1935), 268-279.
- [80] J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. 45 (1939), 243-327.
- [81] J. H. C. Whitehead, On incidence matrices, nuclei and homotopy types, Ann. of Math. 42 (1941), 1197-1239.
- [82] J. H. C. Whitehead, Simple homotopy types, Amer. J. Math. 72 (1950), 1-57.
- [83] S.-T. Yau (ed.), Geometry, Topology, and Physics, For Raoul Bott, Conference Proc. and Lecture Notes in Geometry and Topology VI, Internat. Press, Cambridge, MA, 1995. MR 96f:00038.
- [84] E. C. Zeeman, The generalized Poincaré conjecture, Bull. Amer. Math. Soc. 67 (1961), 270.
- [85] E. C. Zeeman, The Poincaré Conjecture for n ≥ 5, Topology of 3-manifolds and related topics, 1961, 198-204.
- [86] E. C. Zeeman, On the dunce hat, Topology 2 (1964), 341-358.
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Bibliografia
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