@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},
year = {1983},
publisher = {Soci\'et\'e math\'ematique de France},
number = {101-102},
mrnumber = {737930},
zbl = {0524.57022},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.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] and , letter to P. Deligne, Feb. 1981.
[BBDG] , , , , this volume.
[Ber] , Harvard - Brandeis - MIT colloquium, Nov. 1981(at MIT)
[C] , Degeneration of Kahler Manifolds, Duke Math Journal 44 (1977) 215-290 | MR | Zbl | DOI
[CGM] , and , -cohomology and intersection homology of singular algebraic varieties in Seminar on Differential Geometry, Princeton University Press, Princeton, NJ., 1982 | MR | Zbl
[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. | MR | Zbl | DOI
[GMO] and , La Dualité de Poincaré pour les espaces singuliers. CR. Acad. Sci. Paris, 284 (1977) 1549-1551. | MR | Zbl
[GMl] and , Intersection homology theory, Topology 19 (1980) 135-162 | MR | Zbl | DOI
[GM2] and , Intersection Homology II, IHES preprint, 1981(to appear in Inventiones Mathematicae) | MR | Zbl | EuDML
[GM3] and , Stratified Morse Theory. To appear in proceedings of A.M.S. summer conference in Singularities at Arcata Calif. | MR | Zbl
[GM4] and , Stratified Morse Theory II: Morse theory of subanalytic spaces. (to appear)
[GM5] and , Stratified Morse Theory III: Connectivity theorems for complex analytic varieties (to appear)
[P] , Topological Properties of subanalytic sets, Trans. Amer. Math. Soc. 211 (1975) 57-70. | MR | Zbl | DOI
[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). | MR | Zbl | Numdam
[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. | MR | Zbl | EuDML | Numdam
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. | MR | Zbl | DOI







