Orientation of differentiable manifolds
Marston Morse and Stewart S. Cairns
Source: J. Differential Geom. Volume 6, Number 1
(1971), 1-31.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214430216
Mathematical Reviews number (MathSciNet): MR0331415
Zentralblatt MATH identifier: 0226.58001
References
[1] M. Morse, Topologically nondegenerate functions on a compact manifold M, J. Analyse Math. 7 (1959) 189-208.
Zentralblatt MATH: 0096.30603
Mathematical Reviews (MathSciNet): MR113233
Digital Object Identifier: doi:10.1007/BF02787685
[2] M. Morse, The existence of polar nondegenerate functions on acompact n-manifold M, Ann. ofMath. 71 (1960) 352-383.
Zentralblatt MATH: 0096.03604
Mathematical Reviews (MathSciNet): MR113232
Digital Object Identifier: doi:10.2307/1970086
JSTOR: links.jstor.org
[3] M. Morse, Bowls, f-fibre bundles and the alteration of critical values, An. Acad. Brasil. Ci. 36 (1964) 245-259. See [5] for revision of §§1 and 4.
Zentralblatt MATH: 0157.54402
Mathematical Reviews (MathSciNet): MR178478
[4] M. Morse, Nondegenerate functions on abstract differentiable manifolds, J. Analyse Math. 19 (1967) 231-272.
Zentralblatt MATH: 0168.44303
Mathematical Reviews (MathSciNet): MR216515
Digital Object Identifier: doi:10.1007/BF02788720
[5] M. Morse, Bowls, f-fibre bundles and the alteration of critical values, Proc. Nat. Acad. Sci. U.S.A. 60 (1968) 1156-1159.
Zentralblatt MATH: 0157.54403
Mathematical Reviews (MathSciNet): MR231408
Digital Object Identifier: doi:10.1073/pnas.60.4.1156
JSTOR: links.jstor.org
[6] M. Morse and S. S. Cairns, Critical point theory in global analysis and differential topology, Academic Press, New York, 1969.
Zentralblatt MATH: 0177.52102
Mathematical Reviews (MathSciNet): MR245046
[7] M. Morse and S. S. Cairns, Singular homology over Z on topological manifolds, J. Differential Geometry 3 (1969) 1-32.
Zentralblatt MATH: 0195.25004
Mathematical Reviews (MathSciNet): MR270375
Project Euclid: euclid.jdg/1214429054
[8] M. Morse and S. S. Cairns, Elementary quotients of abelian groups and singular homology on manifolds, Nagoya Math. J. 39 (1970) 167-198.
Zentralblatt MATH: 0197.30003
Mathematical Reviews (MathSciNet): MR265457
Project Euclid: euclid.nmj/1118798055
[9] S. Smale, Generalized Poincare conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960) 373-375.
Zentralblatt MATH: 0099.39201
Mathematical Reviews (MathSciNet): MR124912
Digital Object Identifier: doi:10.1090/S0002-9904-1960-10458-2
Project Euclid: euclid.bams/1183523693
Journal of Differential Geometry
