On sets of critical values in the real line
S. M. Bates and A. Norton
Source: Duke Math. J. Volume 83, Number 2
(1996), 399-413.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244449
Mathematical Reviews number (MathSciNet): MR1390652
Zentralblatt MATH identifier: 0877.58008
Digital Object Identifier: doi:10.1215/S0012-7094-96-08313-1
References
[BT] A. S. Besicovitch and S. J. Taylor, On the complementary intervals of a linear closed set of zero Lebesgue measure, J. London Math. Soc. 29 (1954), 449–459.
Mathematical Reviews (MathSciNet): MR16,344d
Zentralblatt MATH: 0056.27801
Digital Object Identifier: doi:10.1112/jlms/s1-29.4.449
[Fal] K. A. Falconer, The Geometry of Fractal Sets, Cambridge Tracts in Math., vol. 85, Cambridge Univ. Press, Cambridge, 1986.
Mathematical Reviews (MathSciNet): MR88d:28001
Zentralblatt MATH: 0587.28004
[Fed] H. Federer, Geometric Measure Theory, Grundlehren Math. Wiss., vol. 153, Springer-Verlag, New York, 1969.
Mathematical Reviews (MathSciNet): MR41:1976
Zentralblatt MATH: 0176.00801
[H] M. W. Hirsch, Differential Topology, Grad. Texts in Math., vol. 33, Springer-Verlag, New York, 1976.
Mathematical Reviews (MathSciNet): MR56:6669
Zentralblatt MATH: 0356.57001
[N1] A. Norton, A $C\sp 1\times\infty$ function with an interval of critical values, Indiana Univ. Math. J. 40 (1991), no. 4, 1483–1488.
Mathematical Reviews (MathSciNet): MR93b:58022
Zentralblatt MATH: 0791.58023
Digital Object Identifier: doi:10.1512/iumj.1991.40.40067
[N2] A. Norton, The Zygmund Morse-Sard theorem, J. Geom. Anal. 4 (1994), no. 3, 403–424.
Mathematical Reviews (MathSciNet): MR95m:58015
Zentralblatt MATH: 0802.58010
[S] E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Ser., vol. 30, Princeton Univ. Press, Princeton, 1970.
Mathematical Reviews (MathSciNet): MR44:7280
Zentralblatt MATH: 0207.13501
[Y1] Y. Yomdin, $\beta$-spread of sets in metric spaces and critical values of smooth functions, preprint, Max-Planck-Inst., Bonn, 1982.
[Y2] Y. Yomdin, The geometry of critical and near-critical values of differentiable mappings, Math. Ann. 264 (1983), no. 4, 495–515.
Mathematical Reviews (MathSciNet): MR86f:58017
Zentralblatt MATH: 0507.57019
Digital Object Identifier: doi:10.1007/BF01456957
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