Manifolds which are like projective planes

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1. [1] J. F. ADAMS, On the non-existence of elements of Hopf invariant one, Annals of Math., 72 (1960), 20-104. Zbl0096.17404MR25 #4530
2. [2] M. F. ATIYAH and F. HIRZEBRUCH, Riemann-Roch theorems for differentiable manifolds, Bull. A.M.S., 65 (1959), 276-281. Zbl0142.40901MR22 #989
3. [3] A. BOREL and F. HIRZEBRUCH, Characteristic classes and homogeneous spaces, III, Am. J. Math., 82 (1960), 491-504. Zbl0097.36401MR22 #11413
4. [4] A. DOLD, Über fasernweise Homotopieäquivalenz von Faserräume, Math. Z., 62 (1955), 111-136. Zbl0064.17403MR17,519d
5. [5] J. EELLS, Alexander-Pontrjagin duality in function spaces, Proc. Symp. in Pure Math., A.M.S., vol. 3 (1961), 109-129. Zbl0107.16702MR23 #A2879
6. [6] J. EELLS and N. H. KUIPER, Closed manifolds which admit nondegenerate functions with three critical points, Proc. Amsterdam, Indagationes Math., 23 (1961), 411-417. Zbl0101.16102MR25 #2612
7. [7] J. EELLS and N. H. KUIPER, An invariant for certain smooth manifolds, Annali di Math. (1962). Zbl0119.18704MR27 #6280
8. [8] H. FREUDENTHAL, Zur ebenen Oktavengeometrie, Proc. Amsterdam A, 56 = Indag. Math., 15 (1953), 195-200. Zbl0053.01503MR15,56f
9. [9] A. HAEFLIGER, Differentiable imbeddings, Bull. A.M.S., 67 (1961), 109-114. Zbl0099.18101MR23 #A665
10. [10] P. HILTON, Homotopy theory and duality, II, Notes Cornell Univ., 1959. (As this is not available any more, compare Hilton-Wylie, Algebraic topology.) 
11. [11] F. HIRZEBRUCH, Neue topologische Methoden in der algebraischen Geometrie, Springer 1956. Zbl0070.16302MR18,509b
12. [12] F. HIRZEBRUCH, Some problems on real and complex manifolds, Annals of Math., 60 (1954), 213-236. Zbl0056.16803MR16,518c
13. [13] F. HIRZEBRUCH-KODAIRA, On the complex projective spaces, Journ. Math. Pur. Appl., 36 (1957), p. 201-216. Zbl0090.38601
14. [14] I. M. JAMES, Multiplications on spheres II, Trans. A.M.S., 84 (1957), 545-558. Zbl0085.17202MR19,875e
15. [15] M. KERVAIRE, A manifold which does not admit any differentiable structure, Comm. Math. Helv., 34 (1961), 257-270. Zbl0145.20304MR25 #2608
16. [16] M. KERVAIRE and J. MILNOR, Groups of homotopy spheres, I, II (in preparation). Zbl0115.40505
17. [17] N. H. KUIPER, A continuous function with two critical points, Bull. A.M.S., 67 (1961), 281-285. Zbl0098.36604MR25 #1559
18. [18] B. MAZUR, The definition of equivalence of combinatorial imbeddings, Public. de l'Institut des Hautes Études scientifiques, 3 (1959), 97-119. Zbl0119.38702MR22 #7134
19. [19] J. MILNOR, On manifolds homeomorphic to the 7-sphere, Annals of Math., 64 (1956), 399-405. Zbl0072.18402MR18,498d
20. [20] J. MILNOR, On the relation between differentiable manifolds and combinatorial manifolds, Notes, Princeton Univ., 1956. 
21. [21] J. MILNOR, On simply connected 4-manifolds, Symp. Intern. de Top. Alg., Mexico, 1958, 122-128. Zbl0105.17204MR21 #2240
22. [22] J. MILNOR, Some consequences of a theorem of Bott, Annals of Math., 68 (1958), 444-449. Zbl0085.17301MR21 #1591
23. [23] M. MORSE, The calculus of variations in the large, A.M.S. Coll. Publ., 18, 1934. Zbl0011.02802MR98f:58070JFM60.0450.01
24. [24] M. MORSE, Topologically non-degenerate functions on a compact n-manifolds, J. d'Analyse Math., VII (1959), 189-208. Zbl0096.30603MR22 #4071
25. [25] G. REEB, Sur certaines propriétés topologiques des variétés feuilletées, Act. sci. ind., 1183 (1952), 91-154. Zbl0049.12602MR14,1113a
26. [26] R. REMMERT-T. v. d. VEN, Zwei Sätze über die Komplex projektive Ebene, Nieuw Archief voor Wiskunde, VIII (1960), 147-157. Zbl0136.20703
27. [27] H. SEIFERT und W. THRELFALL, Lehrbuch der Topologie, Leipzig, 1934. Zbl0009.08601JFM60.0496.05
28. [28] H. SEIFERT und W. THRELFALL, Variationsrechnung im Grossen, Teubner, 1934. 
29. [29] N. SHIMADA, Differentiable structures on the 15-spheres and Pontrjagin classes of certain manifolds, Nagoya Math. J., 12 (1957), 59-69. Zbl0145.20303MR20 #2715
30. [30] S. SMALE, On gradient dynamical systems, Annals of Math. (1961). Zbl0136.43702MR24 #A2973
31. [31] S. SMALE, The generalized Poincaré conjecture in higher dimensions, Bull. A.M.S., 66 (1960), 373-375. Zbl0099.39201MR23 #A2220
32. [32] S. SMALE, Generalized Poincaré's conjecture in dimensions greater than four, Annals of Math., 74 (1961), 391-406. Zbl0099.39202MR25 #580
33. [33] J. STALLINGS, The topology of high-dimensional piecewise linear manifolds, Annals of Math. (in preparation). Zbl0107.40203
34. [35] R. THOM, Espaces fibrés en sphères et carrés de Steenrod, Ann. Sci. Écol. norm. sup., 69 (1952), 109-182. Zbl0049.40001MR14,1004c
35. [36] R. THOM, Quelques propriétés globales des variétés différentiables, Comm. Math. Helv., 28 (1954), 17-86. Zbl0057.15502MR15,890a
36. [37] R. THOM, Les classes caractéristiques de Pontrjagin des variétés triangulées, Symp. Inter de Top. Alg., Mexico, 1958, 54-67. Zbl0088.39201MR21 #866
37. [38] C. T. C. WALL, Determination of the cobordism ring, Annals of Math., 72 (1960), 292-311. Zbl0097.38801MR22 #11403
38. [39] C. T. C. WALL, Classification of (n—1)-connected 2n-manifolds, Annals of Math., 75 (1962), 163-189. Zbl0218.57022MR26 #3071
39. [40] J. H. C. WHITEHEAD, On C1-complexes, Annals of Math., 41 (1940), 809-824. Zbl0025.09203MR2,73dJFM66.0955.03
40. [41] J. H. C. WHITEHEAD, Manifolds with transverse fields in euclidean space, Annals of Math., 73 (1961), 154-213. Zbl0096.37802MR23 #A2225
41. [42] N. E. STEENROD, Topology of Fibre Bundles, Princeton, 1951. Zbl0054.07103MR12,522b
42. [43] S. SMALE, A Diffeomorphism Criterion for Manifolds (in preparation). 

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