Homology theory for real analytic and semianalytic sets
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 2 (1975) no. 1, pp. 107-148.
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     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://archive.numdam.org/item/ASNSP_1975_4_2_1_107_0/}
}
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Hardt, Robert M. Homology theory for real analytic and semianalytic sets. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 2 (1975) no. 1, pp. 107-148. http://archive.numdam.org/item/ASNSP_1975_4_2_1_107_0/

[1] A. Borel - A. Haefliger, La classe d'homologie fondamentale d'un espace analytique, Bull. Soc. Math. France, 89 (1961), pp. 461-513. | Numdam | MR | Zbl

[2] Eilenberg - N. Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, 1952. | MR | Zbl

[3] H. Federer, Geometric measure theory, Springer-Verlag, Heidelberg and New York, 1969. | MR | Zbl

[4] B. Giesecke, Simplicial Zerlegung abzähbahlbarer analytische raüme, Math. Zeit., 83 (1964), pp. 177-213. | MR | Zbl

[5] L. Grauert, On Levi's problem and the embedding of real analytic manifolds, Ann. of Math., 68 (1958), pp. 460-472. | MR | Zbl

[6] R.M. Hardt, Slicing and intersection theory for chains associated with real analytic varieties, Acta Math., 129 (1972), pp. 75-136. | MR | Zbl

[7] R.M. Hardt, 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] R.M. Hardt, Stratification of real analytic mappings and images, Inventiones Math. 28 (1975), pp. 193-208. | MR | Zbl

[9] J.L. Kelley, General Topology, Van Nostrand, New York, 1955. | MR | Zbl

[10] B.C. Koopman - A.B. Brown, On the covering of analytic loci by complexes, Trans. Amer. Math. Soc., 34 (1932), pp. 231-251. | JFM | MR | Zbl

[11] S. Lojasiewicz, Sur le problème de la division, Rozprawy Mathematyczne, no. 22, Warsaw, 1961. | EuDML | MR | Zbl

[12] S. Lojasiewicz, Triangulation of semi-analytic sets, Annali Sc. Norm. Sup. Pisa, serie 3, 18 (1964), pp. 449-474. | EuDML | Numdam | MR | Zbl

[13] S. Lojasiewicz, Ensembles semianalytiques, Cours Faculté des Sciences d'Orsay, I.H.E.S., Bures-sur-Yvette, 1965.

[14] S. Lojasiewicz, 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] R. Narashimhan, Introduction to the theory of analytic spaces, Springer-Verlag, New York, 1966. | Zbl

[16] A. Seidenberg, A new decision method for elementary algebra, Ann. of Math., 60 (1954), pp. 365-374. | MR | Zbl

[17] E.H. Spanier, Algebraic topology, McGraw-Hill, New York, 1966. | MR | Zbl

[18] R. Thom, Ensembles morphismes stratifiés, Bull. Amer. Math. Soc., 75 (1969), pp. 240-284. | MR | Zbl

[19] B.L. Van Der Waerden, Algebra, vol. 1, Ungar, New York, 1970.

[20] H. Whitney, Geometric integration theory, Princeton University Press, Princeton, 1957. | MR | Zbl

[21]] H. H, Subanalytic sets, Numer Theory, Algebraic Geometry, and Commutative Algebra (Dedicated to Akizuki), Kinokunia, Tokyo, 1973, pp. 453-493. | MR | Zbl

[22] H. Hironaka, Introduction to real analytic sets and real analytic maps, Lecture notes of Istituto matematico « Leonida Tonelli », Pisa, 1973. | MR

[23] D. Sullivan, 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] D. Burghelea - A. Verona, Local homological properties of analytic sets, Manuscripta Math., 7 (1972), pp. 55-62. | EuDML | MR | Zbl

[25] R.M. Hardt, Sullivan's local Euler characteristic theorem, Manuscripta Math., 12 (1974), pp. 87-92. | EuDML | MR | Zbl

[26] R.M. Hardt, Topological properties of subanalytic sets, to appear in Trans. Amer. Math. Soc. | MR | Zbl

[27] R.M. Hardt, Triangulation of subanalytic sets and proper light subanalytic maps, preprint. | MR | Zbl