@article{PMIHES_1993__77__5_0, author = {Grayson, Matthew and Pugh, Charles}, title = {Critical sets in 3-space}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--61}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {77}, year = {1993}, mrnumber = {94k:57049}, zbl = {0796.58012}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1993__77__5_0/} }
Grayson, Matthew; Pugh, Charles. Critical sets in 3-space. Publications Mathématiques de l'IHÉS, Tome 77 (1993), pp. 5-61. http://www.numdam.org/item/PMIHES_1993__77__5_0/
The monotone union of open n-cells is an open n-cell, Proc. AMS, 12, 812-814. | MR | Zbl
(1962),Net homotopy for compacta, Trans. AMS, 56, 275-308. | MR | Zbl
(1944),Isolated invariant sets in compact metric spaces, JDE, 12, 330-352. | MR | Zbl
(1972),Isolated invariant sets and the Morse index, CBMS regional conference series in math., number 38, AMS, Providence R.I. | MR | Zbl
(1978),Separation properties of codimension-1 immersions, Topology, 27, 319-321. | MR | Zbl
(1988),Some wild cells and spheres in three dimensional space, Annals of Math., 49, 979-990. | MR | Zbl
and (1948),A note on trajectories in the solid torus, Annals of Math., 56, 438-439. | MR | Zbl
(1952),A critical fractal circle, preprint, U. of California, Berkeley.
and (1990),3-manifolds, Annals of Math. Studies #86, Princeton U. Press, Princeton, N.J. | MR | Zbl
(1976),The behaviour of a function on its critical set, Annals of Math., 40, 62-70. | JFM | Zbl
(1939),The calculus of variations in the large, AMS Colloquium Publ. XVIII, N.Y. | JFM | Zbl
(1934),Obstructions to the smoothing of piecewise differentiable homeomorphisms, Annals of Math., 72, 521-554. | MR | Zbl
(1960),Qualitative theory of differential equations, Princeton U. Press, Princeton N. J. | MR | Zbl
and (1960),Critical sets in the plane, Michigan J. Math, 38, 441-459. | MR | Zbl
and (1991),(1976), personnal communication with C. Conley.
(1990), personnal communication with C. Pugh.
Knots and Links, Publish or Perish Press, Houston Texas. | MR | Zbl
(1976),Links as critical sets, preprint, U. of Texas, Austin.
(1990),The measure of the critical values of differentiable maps, Bull. AMS, 48, 883-890. | MR | Zbl
(1942),A proof and extension of Dehn's Lemma, Bull. AMS, 64, 174-178. | MR | Zbl
and (1958),Global Stability of dynamical systems, Springer-Verlag, N.Y. | MR | Zbl
(1987),personnal communication with M. Grayson.
(1990),A function not constant on a connected set of critical points, Duke Math. J., 1, 514-517. | JFM | Zbl
(1935),A converse to the Jordan Brouwer Separation Theorem, Trans. AMS, 32, 632-657. | JFM | MR
(1930),Smoothing derivatives of functions and applications, Trans. AMS, 139, 413-428. | MR | Zbl
, (1969),Lyapunov functions and isolating blocks, JDE, 13, 106-123. | MR | Zbl
, and (1973),