×

zbMATH — the first resource for mathematics

Triangulation of semi-analytic sets. (English) Zbl 0128.17101

Keywords:
topology
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] P.S. Alexandrov , Combinatorial Topology I , Graylock , Rochester N. Y. , 1956 . Zbl 0903.55001 · Zbl 0903.55001
[2] B. Giesecke , Simpliziale Zerlegung abzählbarer komplexer Räume, Thesis , A. Schubert , München , 1963 . · Zbl 0123.39602
[3] H. Grauert , On Levi’s problem and the imbedding of real analytic manifolds , Ann. of Math. ( 2 ) 68 ( 1958 ), 460 - 472 . MR 98847 | Zbl 0108.07804 · Zbl 0108.07804 · doi:10.2307/1970257
[4] B.C. Koopman and. A.B. Brown , On the covering of analytic loci by complexes , Trans. Amer. Math. Soc. 34 ( 1932 ), 231 - 251 . MR 1501636 | Zbl 0004.13203 | JFM 58.1203.02 · Zbl 0004.13203 · doi:10.2307/1989540 · www.emis.de
[5] S. Lefschetz , Topology , Amer. Math. Soc , Coll. Publications , New York , 1930 . · JFM 56.0491.08
[6] S. Lefschetz and J.H.C. Whitehead , On analytical complexes , Trans. Amer. Math. Soc. 35 ( 1933 ), 510 - 517 . MR 1501698 | Zbl 0006.37006 | JFM 59.0559.02 · Zbl 0006.37006 · doi:10.2307/1989779 · www.emis.de
[7] S. Lojasiewicz , Sur le problème de la division , Rozprawy Mat. 22 ( 1961 ). MR 126072 | Zbl 0096.32102 · Zbl 0096.32102
[8] S. Lojasiewicz , Une propriété topologique des sous-ensembles analytiques réels . Coll. dn CNRS sur les équations aux dérivées partielles , Paris , 1962 , 87 - 89 . MR 160856 | Zbl 0234.57007 · Zbl 0234.57007
[9] J. Milnor , Two complexes which are homeomorphic but combinatorially distinct , Ann. of Math. ( 2 ) 74 ( 1961 ), 575 - 590 . MR 133127 | Zbl 0102.38103 · Zbl 0102.38103 · doi:10.2307/1970299
[10] W.F. Osgood , Lehrburch der Funktionentheorie II, 1 , Teubner , Leipzig , 1929 . JFM 54.0326.10 · JFM 54.0326.10
[11] R. Remmert and K. Stein , Über die wesentlichen Singularitäten analytischer Mengen , Math. Ann. 126 ( 1953 ), 263 - 306 . MR 60033 | Zbl 0051.06303 · Zbl 0051.06303 · doi:10.1007/BF01343164 · eudml:160344
[12] A. Sard , The measure of the critical values of differentiale maps , Bull. Amer. Math. Soc. 48 ( 1942 ), 883 - 890 . Article | MR 7523 | Zbl 0063.06720 · Zbl 0063.06720 · doi:10.1090/S0002-9904-1942-07811-6 · minidml.mathdoc.fr
[13] A. Seidenberg , A new decision method for elementary algebra , Ann. of Math. ( 2 ) 60 ( 1954 ), 365 - 374 . MR 63994 | Zbl 0056.01804 · Zbl 0056.01804 · doi:10.2307/1969640
[14] R. Thom , La stabilité topologique des applications polynomiales , Enseignement Math. 8 ( 1962 ), 24 - 33 . MR 148079 | Zbl 0109.40002 · Zbl 0109.40002
[15] B.L. van der WAERDEN , Topologische Begründung des Kalküls der abzählenden Geometrie , Math. Ann. 102 ( 1929 ), 337 - 362 . JFM 55.0992.01 · JFM 55.0992.01
[16] H. Whitney , Analytic extensions of differentiable functions defined in closed sets , Trans. Amer. Math. Soc. 36 ( 1934 ), 63 - 89 . MR 1501735 | Zbl 0008.24902 | JFM 60.0217.01 · Zbl 0008.24902 · doi:10.2307/1989708 · www.emis.de
[17] H. Whitney , Elementary structure of real algebraic varieties , Ann. of Math. ( 2 ) 66 ( 1957 ) 545 - 556 . MR 95844 | Zbl 0078.13403 · Zbl 0078.13403 · doi:10.2307/1969908
[18] H. Whitney , Geometric Integration Theory , Princeton , 1957 . MR 87148 | Zbl 0083.28204 · Zbl 0083.28204
[19] K. Sato , Local triangulation of Real Analytic Varieties , Osaka Math. J. , 15 ( 1963 ), 109 - 125 . MR 156355 | Zbl 0219.57014 · Zbl 0219.57014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.