@article{ASNSP_1975_4_2_1_107_0, author = {Hardt, Robert M.}, title = {Homology theory for real analytic and semianalytic sets}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {107--148}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 2}, number = {1}, year = {1975}, mrnumber = {382699}, zbl = {0309.32004}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1975_4_2_1_107_0/} }
TY - JOUR AU - Hardt, Robert M. TI - Homology theory for real analytic and semianalytic sets JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1975 SP - 107 EP - 148 VL - 2 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1975_4_2_1_107_0/ LA - en ID - ASNSP_1975_4_2_1_107_0 ER -
%0 Journal Article %A Hardt, Robert M. %T Homology theory for real analytic and semianalytic sets %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1975 %P 107-148 %V 2 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1975_4_2_1_107_0/ %G en %F ASNSP_1975_4_2_1_107_0
Hardt, Robert M. Homology theory for real analytic and semianalytic sets. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 2 (1975) no. 1, pp. 107-148. http://www.numdam.org/item/ASNSP_1975_4_2_1_107_0/
[1] La classe d'homologie fondamentale d'un espace analytique, Bull. Soc. Math. France, 89 (1961), pp. 461-513. | Numdam | MR | Zbl
- ,[2] Foundations of algebraic topology, Princeton University Press, Princeton, 1952. | MR | Zbl
- ,[3] Geometric measure theory, Springer-Verlag, Heidelberg and New York, 1969. | MR | Zbl
,[4] Simplicial Zerlegung abzähbahlbarer analytische raüme, Math. Zeit., 83 (1964), pp. 177-213. | MR | Zbl
,[5] On Levi's problem and the embedding of real analytic manifolds, Ann. of Math., 68 (1958), pp. 460-472. | MR | Zbl
,[6] Slicing and intersection theory for chains associated with real analytic varieties, Acta Math., 129 (1972), pp. 75-136. | MR | Zbl
,[7] Slicing and intersection theory for chains modulo é associated with real analytic varieties, Trans. Amer. Math. Soc., 183 (1973), pp. 327-340. | MR | Zbl
,[8] Stratification of real analytic mappings and images, Inventiones Math. 28 (1975), pp. 193-208. | MR | Zbl
,[9] General Topology, Van Nostrand, New York, 1955. | MR | Zbl
,[10] On the covering of analytic loci by complexes, Trans. Amer. Math. Soc., 34 (1932), pp. 231-251. | JFM | MR | Zbl
- ,[11] Sur le problème de la division, Rozprawy Mathematyczne, no. 22, Warsaw, 1961. | EuDML | MR | Zbl
,[12] Triangulation of semi-analytic sets, Annali Sc. Norm. Sup. Pisa, serie 3, 18 (1964), pp. 449-474. | EuDML | Numdam | MR | Zbl
,[13] Ensembles semianalytiques, Cours Faculté des Sciences d'Orsay, I.H.E.S., Bures-sur-Yvette, 1965.
,[14] Une propriété topologique des sous-ensembles analytique reéls, Colloques internationaux du Centre National de la Recherche Scientifique, no. 117, Les Equations aux Dérivées Partielles, Paris, 1962, pp. 87-89. | MR | Zbl
,[15] Introduction to the theory of analytic spaces, Springer-Verlag, New York, 1966. | Zbl
,[16] A new decision method for elementary algebra, Ann. of Math., 60 (1954), pp. 365-374. | MR | Zbl
,[17] Algebraic topology, McGraw-Hill, New York, 1966. | MR | Zbl
,[18] Ensembles morphismes stratifiés, Bull. Amer. Math. Soc., 75 (1969), pp. 240-284. | MR | Zbl
,[19] Algebra, vol. 1, Ungar, New York, 1970.
,[20] Geometric integration theory, Princeton University Press, Princeton, 1957. | MR | Zbl
,[21]] Subanalytic sets, Numer Theory, Algebraic Geometry, and Commutative Algebra (Dedicated to Akizuki), Kinokunia, Tokyo, 1973, pp. 453-493. | MR | Zbl
,[22] Introduction to real analytic sets and real analytic maps, Lecture notes of Istituto matematico « Leonida Tonelli », Pisa, 1973. | MR
,[23] Combinatorial invariants of analytic spaces, Proceedings of Liver-pool Singularities-Symposium I, Springer-Verlag Lecture Notes in Mathematics, 192 (1971), pp. 165-168. | MR | Zbl
,[24] Local homological properties of analytic sets, Manuscripta Math., 7 (1972), pp. 55-62. | EuDML | MR | Zbl
- ,[25] Sullivan's local Euler characteristic theorem, Manuscripta Math., 12 (1974), pp. 87-92. | EuDML | MR | Zbl
,[26] Topological properties of subanalytic sets, to appear in Trans. Amer. Math. Soc. | MR | Zbl
,[27] Triangulation of subanalytic sets and proper light subanalytic maps, preprint. | MR | Zbl
,