@incollection{AST_1983__101-102__135_0, author = {Goresky, Mark and MacPherson, Robert}, title = {Morse theory and intersection homology theory}, booktitle = {Analyse et topologie sur les espaces singuliers (II-III) - 6 - 10 juillet 1981}, series = {Ast\'erisque}, pages = {135--192}, publisher = {Soci\'et\'e math\'ematique de France}, number = {101-102}, year = {1983}, mrnumber = {737930}, zbl = {0524.57022}, language = {en}, url = {http://archive.numdam.org/item/AST_1983__101-102__135_0/} }
TY - CHAP AU - Goresky, Mark AU - MacPherson, Robert TI - Morse theory and intersection homology theory BT - Analyse et topologie sur les espaces singuliers (II-III) - 6 - 10 juillet 1981 AU - Collectif T3 - Astérisque PY - 1983 SP - 135 EP - 192 IS - 101-102 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1983__101-102__135_0/ LA - en ID - AST_1983__101-102__135_0 ER -
%0 Book Section %A Goresky, Mark %A MacPherson, Robert %T Morse theory and intersection homology theory %B Analyse et topologie sur les espaces singuliers (II-III) - 6 - 10 juillet 1981 %A Collectif %S Astérisque %D 1983 %P 135-192 %N 101-102 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1983__101-102__135_0/ %G en %F AST_1983__101-102__135_0
Goresky, Mark; MacPherson, Robert. Morse theory and intersection homology theory, dans Analyse et topologie sur les espaces singuliers (II-III) - 6 - 10 juillet 1981, Astérisque, no. 101-102 (1983), pp. 135-192. http://archive.numdam.org/item/AST_1983__101-102__135_0/
[A] Théorème de finitude pour un morphisme propre. EGA 4 expose XIV. Springer Lecture Notes in Mathematics vol. 305. Springer-Verlag, New York, 1973 | Zbl
:[B] Sheaf Theory McGraw-Hill, New York (1967). | MR | Zbl
,[BB] letter to P. Deligne, Feb. 1981.
and ,[BBDG]
, , , , this volume.[Ber]
, Harvard - Brandeis - MIT colloquium, Nov. 1981(at MIT)[C] Degeneration of Kahler Manifolds, Duke Math Journal 44 (1977) 215-290 | DOI | MR | Zbl
,[CGM] -cohomology and intersection homology of singular algebraic varieties in Seminar on Differential Geometry, Princeton University Press, Princeton, NJ., 1982 | MR | Zbl
, and ,[God] Topologie Algébrique et Théorie des Faisceaux, Hermann, Paris (1958) | MR | Zbl
,[Gor] Whitney stratified chains and cochains. Trans. Amer. Math. Soc. 261 (1981) 175-196. | DOI | MR | Zbl
,[GMO] La Dualité de Poincaré pour les espaces singuliers. CR. Acad. Sci. Paris, 284 (1977) 1549-1551. | MR | Zbl
and ,[GMl] Intersection homology theory, Topology 19 (1980) 135-162 | DOI | MR | Zbl
and ,[GM2] Intersection Homology II, IHES preprint, 1981(to appear in Inventiones Mathematicae) | EuDML | MR | Zbl
and ,[GM3] Stratified Morse Theory. To appear in proceedings of A.M.S. summer conference in Singularities at Arcata Calif. | MR | Zbl
and ,[GM4] Stratified Morse Theory II: Morse theory of subanalytic spaces. (to appear)
and ,[GM5] Stratified Morse Theory III: Connectivity theorems for complex analytic varieties (to appear)
and ,[P] Topological Properties of subanalytic sets, Trans. Amer. Math. Soc. 211 (1975) 57-70. | DOI | MR | Zbl
,[K] Holonomic systems of linear differential equations with regular singularities and related topics in topology. Tokyo University conference 1981. | Zbl
,[L] Morse Theory on singular spaces, in Singularités à Cargèse. Publ. Soc. Math. de France, 1973 (Astérisque #7-8). | Numdam | MR | Zbl
,[Lê] Proceedings of Nordic Summer School, Oslo 1976.
,[Ma 1] Notes on topological stability. Mimeographed notes, Harvard University 1970. | Zbl
,[Ma 2] Stratifications and mappings. Dynamical Systems, (M.M. Peixoto ed.) Academic Press, New York 1973. | MR | Zbl
,[Mal]
, Lecture at Arbeitstagung, 1981 in Bonn, Germany.[Mi] Morse Theory, Ann. of Math. studies # 51, Princeton Univ. Press, Princeton N.J.1963. | MR | Zbl
,[Mi2] Singular Points of a Complex Hypersurface. Ann. of Math. Studies # 61. Princeton Univ. Press, Princeton N.J. | MR | Zbl
,[P] Density and stability of Morse functions on a stratified space, Ann. Scuola Nor. Sup. Pisa ser. IV vol. 6(1979) 593-608. | EuDML | Numdam | MR | Zbl
,191
,[S] The Topology of Fibre Bundles, Princeton University Press, Princeton N.J. 1951. | MR | Zbl
,[T] Ensembles et Morphismes Stratifies, Bull. Amer. Math. Soc. 75 (1969) 240-284. | DOI | MR | Zbl
,