Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.M. Boardman, Singularities of differentiable maps, Publ. Math. I.H.E.S. 33(1967) 21–57.
F. Bruhat and H. Cartan, Sur la structure des sous-ensembles analytiques réels, C.R. Acad. Sci. Paris, 244 (1957) 988–990.
T.C. Kuo, The ratio test for analytic Whitney stratifications. This volume, pp.141–149.
S. Łojasiewicz, Triangulation of semi-analytic sets, Ann. Scu. Norm. Sup. Pisa, Sc. Fis. Mat. Ser. 3, 18 (1964) 449–474.
S. Łojasiewicz, Ensembles semi-analytiques. Lecture notes, I.H.E.S. (Bures-sur-Yvette), 1965.
B. Malgrange, Ideals of differentiable functions, Oxford University Press, 1966.
J.N. Mather, Stability of C∞ mappings, III: finitely determined map-germs, Publ. Math. I.H.E.S. 35 (1968) 127–156.
J.N. Mather, Notes on topological stability. Lecture notes, Harvard University, 1970.
J. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math. Study 61, Princeton University Press, 1968.
C.B. Rayner, Thom's cell decomposition as a stratified set. This volume, pp.150–152.
D. Sullivan, Combinatorial invariants of analytic spaces. This volume, pp.165–168.
R. Thom, Sur une partition en cellules associée à une fonction sur une variété, C.R. Acad. Sci. Paris, 228 (1949) 973–975.
R. Thom, La stabilité topologique des applications polynomiales, l'Enseignement Math. 8 (1962) 24–33.
R. Thom, Local topological properties of differentiable mappings, In Differential Analysis, Oxford University Press, 1964 191–202.
R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969) 240–284.
R. Thom, Stratified sets and morphisms: local models. This volume, pp.153–164.
A.H. Wallace, Algebraic approximation of curves, Canad. J. Math. 10 (1958) 242–278.
H. Whitney, Elementary structure of real algebraic varieties, Ann. of Math. 66 (1957) 545–556.
H. Whitney and F. Bruhat, Quelques propriétés fondamentales des ensembles analytiques — réels, Comm. Math. Helv. 33 (1959) 132–160.
H. Whitney, Local properties of analytic varieties, In Differential and Combinatorial Topology (ed. S.S. Cairns), Princeton University Press, 1965, 205–244.
H. Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965) 496–549.
C.T.C. Wall, Graded algebras, anti-involutions, simple groups and symmetric spaces. Bull. Amer. Math. Soc. 74 (1968) 198–202.
Editor information
Rights and permissions
Copyright information
© 1971 Springer-Verlag
About this paper
Cite this paper
Wall, C.T.C. (1971). Stratified sets: A survey. In: Wall, C. (eds) Proceedings of Liverpool Singularities — Symposium I. Lecture Notes in Mathematics, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066818
Download citation
DOI: https://doi.org/10.1007/BFb0066818
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05402-3
Online ISBN: 978-3-540-36531-0
eBook Packages: Springer Book Archive