Contents of Volume 87
The present volume originates from the conference Singularity Theory in Honor of Stanisław Łojasiewicz,
held in Cracow (Poland) from 22 to 27 March 2004,
to commemorate Stanisław Łojasiewicz (1926–2002) and his work.
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Recent progress on the Jacobian Conjecture Annales Polonici Mathematici 87 (2005), 1-11 MSC: Primary 14R15. DOI: 10.4064/ap87-0-1
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Clarke critical values of subanalytic Lipschitz continuous functions Annales Polonici Mathematici 87 (2005), 13-25 MSC: Primary 35B38; Secondary 49J52, 32B30. DOI: 10.4064/ap87-0-2
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Reduction of semialgebraic constructible functions Annales Polonici Mathematici 87 (2005), 27-38 MSC: 14P10, 12J25, 28A25. DOI: 10.4064/ap87-0-3
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On gradient at infinity of semialgebraic functions Annales Polonici Mathematici 87 (2005), 39-49 MSC: Primary 32Bxx, 34Cxx; Secondary 32Sxx, 14P10. DOI: 10.4064/ap87-0-4
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Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials Annales Polonici Mathematici 87 (2005), 51-61 MSC: Primary 32Bxx, 34Cxx, Secondary 32Sxx, 14P10. DOI: 10.4064/ap87-0-5
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The Łojasiewicz exponent of c-holomorphic mappings Annales Polonici Mathematici 87 (2005), 63-81 MSC: 32B15, 32B10, 32B30, 32A17. DOI: 10.4064/ap87-0-6
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The Jacobian Conjecture: symmetric reduction and solution in the symmetric cubic linear case Annales Polonici Mathematici 87 (2005), 83-92 MSC: 14R15, 14R10. DOI: 10.4064/ap87-0-7
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Non-uniruledness and the cancellation problem Annales Polonici Mathematici 87 (2005), 93-98 MSC: Primary 14R10; Secondary 14E05. DOI: 10.4064/ap87-0-8
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On families of trajectories of an analytic gradient vector field Annales Polonici Mathematici 87 (2005), 99-109 MSC: Primary 37B35, 58K05; Secondary 14B05, 34C08. DOI: 10.4064/ap87-0-9
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Zeta functions and blow-Nash equivalence Annales Polonici Mathematici 87 (2005), 111-126 MSC: 14B05, 14P20, 14P25, 32S15. DOI: 10.4064/ap87-0-10
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The Łojasiewicz numbers and plane curve singularities Annales Polonici Mathematici 87 (2005), 127-150 MSC: 32S05, 14H20. DOI: 10.4064/ap87-0-11
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The Łojasiewicz gradient inequality in a neighbourhood of the fibre Annales Polonici Mathematici 87 (2005), 151-163 MSC: 14E05, 14R25, 30C15. DOI: 10.4064/ap87-0-12
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Positively homogeneous functions and the Łojasiewicz gradient inequality Annales Polonici Mathematici 87 (2005), 165-174 MSC: 26B35, 26E05, 34A26, 34D05. DOI: 10.4064/ap87-0-13
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On convergence of integrals in $o$-minimal structures on archimedean real closed fields Annales Polonici Mathematici 87 (2005), 175-192 MSC: 03C64, 12J15, 28B15. DOI: 10.4064/ap87-0-14
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Nash cohomology of smooth manifolds Annales Polonici Mathematici 87 (2005), 193-205 MSC: 14P20, 14P25, 14C25. DOI: 10.4064/ap87-0-15
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Feuilletages orthogonaux du tore à feuilles fermées Annales Polonici Mathematici 87 (2005), 207-212 MSC: 37C10, 57R25, 14P15. DOI: 10.4064/ap87-0-16
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Bi-Lipschitz trivialization of the distance function to a stratum of a stratification Annales Polonici Mathematici 87 (2005), 213-218 MSC: Primary 32S15, 32S60; Secondary 32B20. DOI: 10.4064/ap87-0-17
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A note on Bézout's theorem Annales Polonici Mathematici 87 (2005), 219-227 MSC: 13H15, 14B05, 14C17, 32B99. DOI: 10.4064/ap87-0-18
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The degree at infinity of the gradient of a polynomial in two real variables Annales Polonici Mathematici 87 (2005), 229-235 MSC: 14P15, 32B10. DOI: 10.4064/ap87-0-19
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Whitney triangulations of semialgebraic sets Annales Polonici Mathematici 87 (2005), 237-246 MSC: Primary 14P10. DOI: 10.4064/ap87-0-20
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The Łojasiewicz exponent of subanalytic sets Annales Polonici Mathematici 87 (2005), 247-263 MSC: Primary 32B20. DOI: 10.4064/ap87-0-21
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Volume and multiplicities of real analytic sets Annales Polonici Mathematici 87 (2005), 265-276 MSC: 32B20, 57N80, 58A20. DOI: 10.4064/ap87-0-22
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Some quantitative results in singularity theory Annales Polonici Mathematici 87 (2005), 277-299 MSC: 58Kxx, 58C15. DOI: 10.4064/ap87-0-23
