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Neighborhoods of algebraic sets. (English) Zbl 0529.14013


MSC:

14Pxx Real algebraic and real-analytic geometry
14F45 Topological properties in algebraic geometry
57Q40 Regular neighborhoods in PL-topology
14B05 Singularities in algebraic geometry
32B25 Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
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References:

[1] Wolf Barth, Lokale Cohomologie bei isolierten Singularitäten analytischer Mengen, Schr. Math. Inst. Univ. Münster (2) 5 (1971), i+59 (German). · Zbl 0231.32005
[2] P. T. Church, Differentiable open maps on manifolds, Trans. Amer. Math. Soc. 109 (1963), 87 – 100. · Zbl 0202.54801
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[4] Heisuke Hironaka, Triangulations of algebraic sets, Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974) Amer. Math. Soc., Providence, R.I., 1975, pp. 165 – 185. · Zbl 0366.32007
[5] J. F. P. Hudson, Piecewise linear topology, University of Chicago Lecture Notes prepared with the assistance of J. L. Shaneson and J. Lees, W. A. Benjamin, Inc., New York-Amsterdam, 1969. · Zbl 0189.54507
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[7] Mather, Notes on topological stability, Harvard Univ. 1970. · Zbl 0207.54303
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[9] John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. · Zbl 0184.48405
[10] David Mumford, The topology of normal singularities of an algebraic surface and a criterion for simplicity, Inst. Hautes Études Sci. Publ. Math. 9 (1961), 5 – 22. · Zbl 0108.16801
[11] R. Thom, Les structures différentiables des boules et des sphères, Colloque Géom. Diff. Globale (Bruxelles, 1958) Centre Belge Rech. Math., Louvain, 1959, pp. 27 – 35 (French). · Zbl 0096.37801
[12] C. T. C. Wall, Regular stratifications, Dynamical systems — Warwick 1974 (Proc. Sympos. Appl. Topology and Dynamical Systems, Univ. Warwick, Coventry, 1973/1974; presented to E. C. Zeeman on his fiftieth birthday), Springer, Berlin, 1975, pp. 332 – 344. Lecture Notes in Math., Vol. 468.
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