Differenzierbare Strukturen auf Mannigfaltigkeiten ohne abzählbare Basis

Springer Science and Business Media LLC - Tập 19 Số 1 - Trang 95-102 - 1968
Winfried Koch1, Dieter Puppe1
1Mathematisches Institut, Universität des Saarlandes

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Tài liệu tham khảo

H. Grauert, On Levi's problem and the imbedding of real-analytic manifolds. Ann. of Math., II. Ser.68, 460–472 (1958).

M. A. Kervaire, A manifold which does not admit any differentiable structure. Comment. Math. Helvet.34, 257–270 (1960).

H.Kneser, Analytische Struktur und Abzählbarkeit. Ann. Acad. Sci. Fennicae A/I. 251/5 (1958).

H. Kneser undM. Kneser, Reell-analytische Strukturen der Alexandroff-Halbgeraden und der Alexandroff-Geraden. Arch. Math.11, 104–106 (1960).

J. Milnor, On manifolds homeomorphic to the 7-sphere. Ann. of Math., II. Sur.64, 399–405 (1956).

J. R. Munkres, Obstructions to the smoothing of piecewise-differentiable homeomorphisms. Ann. of Math., II. Ser.72, 521–554 (1960).

J. R.Munkres, Elementary differential topology. Ann. Math. Stud. Nr. 54 (1963).

J. H. C. Whitehead, Manifolds with transverse fields in euclidean space. Ann. of Math., II. Ser.73, 154–212 (1961).

H. Whitney, Analytic extensions of differentiable functions defined in closed sets. Trans. Ammer. Math. Soc.36, 63–89 (1934).

H. Whitney, Differentiable manifolds. Ann. of Math., II. Ser.37, 645–680 (1936).

H. Kneser, Sur les variétés connexes de dimension 1. Bull. Soc. Math. Belg.10, 19–25 (1958).