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Homology and images of semianalytic sets
Author:
Robert M. Hardt
Journal:
Bull. Amer. Math. Soc. 80 (1974), 675-678
MSC (1970):
Primary 32C05, 32C25; Secondary 55B35, 55B45, 28A75
MathSciNet review:
0348140
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Dan
Burghelea and Andrei
Verona, Local homological properties of analytic sets,
Manuscripta Math. 7 (1972), 55–66. MR 0310285
(46 #9386)
- 2.
Herbert
Federer, Geometric measure theory, Die Grundlehren der
mathematischen Wissenschaften, Band 153, Springer-Verlag New York Inc., New
York, 1969. MR
0257325 (41 #1976)
- 3.
Burghart
Giesecke, Simpliziale Zerlegung abzählbarer analytischer
Räume, Math. Z. 83 (1964), 177–213
(German). MR
0159346 (28 #2563)
- 4.
Robert
M. Hardt, Slicing and intersection theory for chains associated
with real analytic varieties, Acta Math. 129 (1972),
75–136. MR
0315561 (47 #4110)
- 5.
Robert
M. Hardt, Slicing and intersection theory for
chains modulo 𝜈 associated with real analytic varieties,
Trans. Amer. Math. Soc. 183 (1973), 327–340. MR 0338430
(49 #3195), http://dx.doi.org/10.1090/S0002-9947-1973-0338430-7
- 6.
Robert
M. Hardt, Homology theory for real analytic and semianalytic
sets, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 2
(1975), no. 1, 107–148. MR 0382699
(52 #3581)
- 7.
Robert
M. Hardt, Stratification of real analytic mappings and images,
Invent. Math. 28 (1975), 193–208. MR 0372237
(51 #8453)
- 8.
S.
Lojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola
Norm. Sup. Pisa (3) 18 (1964), 449–474. MR 0173265
(30 #3478)
- 9.
S. Łojasiewicz, Ensembles semianalytiques, Cours Faculté des Sciences d'Orsay, Inst. Haute Etudes Sci., Bures-sur-Yvette, 1965.
- 10.
S. Łojasiewicz, Une propiété topologique des sous-ensembles analytique reéls, Colloques internationaux du Centre National de la Recherche Scientifique, No. 117, Les Equations aux Dérivées Partielles, Paris, 1972, pp. 87-89.
- 11.
Dž.
N. Mazer, Stratifications and mappings, Uspehi Mat. Nauk
27 (1972), no. 5(167), 85–118 (Russian).
Translated from the English (Dynamical systems (Proc. Sympos., Univ. Bahia,
Salvador, 1971), pp. 195–232, Academic Press, New York, 1973), by A.
N. Varčenko; A series of articles on the theory of singularities of
smooth mappings. MR 0385917
(52 #6776)
- 12.
R.
Thom, Ensembles et morphismes
stratifiés, Bull. Amer. Math. Soc.
75 (1969), 240–284
(French). MR
0239613 (39 #970), http://dx.doi.org/10.1090/S0002-9904-1969-12138-5
- 13.
Heisuke
Hironaka, Subanalytic sets, Number theory, algebraic geometry
and commutative algebra, in honor of Yasuo Akizuki, Kinokuniya, Tokyo,
1973, pp. 453–493. MR 0377101
(51 #13275)
- 14.
Heisuke
Hironaka, Subanalytic sets, Number theory, algebraic geometry
and commutative algebra, in honor of Yasuo Akizuki, Kinokuniya, Tokyo,
1973, pp. 453–493. MR 0377101
(51 #13275)
- 1.
- D. Burghelea and A. Verona, Local homological properties of analytic sets, Manuscripta Math. 7 (1972), 55-66. MR 310285
- 2.
- H. Federer, Geometric measure theory, Die Grundlehren der math. Wissenschaften, Band 153, Springer-Verlag, Berlin and New York, 1969. MR 41 #1976. MR 257325
- 3.
- B. Giesecke, Simpliziale Zerlegung abzählbarer analytischer Räurne, Math. Z. 83 (1964), 177-213. MR 28 #2563. MR 159346
- 4.
- R. Hardt, Slicing and intersection theory for chains associated with real analytic varieties, Acta Math. 129 (1972), 75-136. MR 315561
- 5.
- R. Hardt, Slicing and intersection theory for chains modulo v associated with real analytic varieties, Trans. Amer. Math. Soc. 183 (1973), 327-340. MR 338430
- 6.
- R. Hardt, Homology theory for real analytic and semianalytic sets, Ann. Scuola Norm. Sup. Pisa (to appear). MR 382699
- 7.
- R. Hardt, Stratification of real analytic mappings and images, (preprint). MR 372237
- 8.
- S. Łojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa (3) 18 (1964), 449-474. MR 30 #3478. MR 173265
- 9.
- S. Łojasiewicz, Ensembles semianalytiques, Cours Faculté des Sciences d'Orsay, Inst. Haute Etudes Sci., Bures-sur-Yvette, 1965.
- 10.
- S. Łojasiewicz, Une propiété topologique des sous-ensembles analytique reéls, Colloques internationaux du Centre National de la Recherche Scientifique, No. 117, Les Equations aux Dérivées Partielles, Paris, 1972, pp. 87-89.
- 11.
- J. Mather, Stratifications and mappings, Harvard University notes, Cambridge, Mass., 1971. MR 385917
- 12.
- R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc. 75 (1969), 240-284. MR 39 #970. MR 239613
- 13.
- H. Hironaka, Subanalytic sets, Number Theory, Algebraic Geometry, and Commutative Algebra (Dedicated to Akizuki), Kinokunia, Tokyo, Japan, 1973, pp. 453-493. MR 377101
- 14.
- H. Hironaka, Subanalytic sets, Lecture notes of Istituto matematico, Leonida Tonelli, Pisa, 1973. MR 377101
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13544-5
PII:
S 0002-9904(1974)13544-5
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