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Trotman, David John Angelo

Author ID: trotman.david-j-a Recent zbMATH articles by "Trotman, David John Angelo"
Published as: Trotman, David; Trotman, D. J. A.; Trotman, David J. A.; Trotman, D.
Homepage: http://www.latp.univ-mrs.fr/~trotman/
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 60 Publications since 1976, including 3 Books
1 Contribution as Editor · 1 Further Contribution
Reviewing Activity: 5 Reviews
Biographic References: 1 Publication
Co-Authors: 25 Co-Authors with 41 Joint Publications
240 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 242 times in 122 Documents Cited by Year
Whitney (b)-regularity is weaker than Kuo’s ratio test for real algebraic stratifications. Zbl 0429.58001
Brodersen, Hans; Trotman, David
18
1979
Stability of transversality to a stratification implies Whitney (a)- regularity. Zbl 0397.58016
Trotman, D. J. A.
17
1979
Bilipschitz invariance of the multiplicity. Zbl 0892.32024
Risler, Jean-Jacques; Trotman, David
14
1997
Geometric versions of Whitney regularity for smooth stratifications. Zbl 0456.58002
Trotman, David J. A.
14
1979
A geometric proof of the existence of definable Whitney stratifications. Zbl 1347.03076
Nguyen, Nhan; Trivedi, Saurabh; Trotman, David
11
2014
Stratifications and finite determinacy. Zbl 1049.58040
Trotman, David J. A.; Wilson, Leslie C.
10
1999
Whitney regularity and generic wings. Zbl 0442.58002
Navarro Aznar, V.; Trotman, David J. A.
9
1981
Poincaré-Hopf theorems on singular spaces. Zbl 1301.32022
King, H.; Trotman, D.
9
2014
A transversality property weaker than Whitney (a)-regularity. Zbl 0344.57009
Trotman, D. J. A.
8
1976
Multiplicity as a \(C^1\) invariant. Zbl 0921.32013
Trotman, David
6
1998
Cône normal et régularités de Kuo-Verdier. (Normal cone and Kuo-Verdier regularities). Zbl 1014.58004
Orro, Patrice; Trotman, David
6
2002
Blowing-up and Whitney (a)-regularity. Zbl 0645.58003
Kuo, Tzee-Char; Trotman, David J. A.; Xin, Li Pei
5
1989
Une version microlocale de la condition (w) de Verdier. (A microlocal version of the condition (w) of Verdier). Zbl 0677.58043
Trotman, David
5
1989
Whitney (a)-faults which are hard to detect. Zbl 0456.58003
Kambouchner, Anne; Trotman, David J. A.
5
1979
Propriétés métriques de familles \(\Phi\)-radiales de sous- variétés différentiables. (Metric properties of \(\Phi\)-radial families of differentiable submanifolds). Zbl 0642.57016
Bekka, Karim; Trotman, David
4
1987
On (\(\omega\) ) and \((t^ s)\)-regular stratifications. Zbl 0653.57008
Kuo, Tzee-Char; Trotman, David J. A.
4
1988
Comparing regularity conditions on stratifications. Zbl 0519.58009
Trotman, David
4
1983
Morphismes stratifiés semi-différentiables. (Semi-differentiable stratified morphisms.) Zbl 0943.58006
Murolo, Claudio; Trotman, David
4
1999
Weakly Whitney stratified sets. Zbl 0942.58010
Bekka, K.; Trotman, D.
4
2000
Lipschitz stratifications and generic wings. Zbl 1039.32040
Juniati, Dwi; Trotman, David; Valette, Guillaume
4
2003
On the regular stratifications and conormal structure of subanalytic sets. Zbl 0585.32006
Orro, Patrice; Trotman, David
4
1986
Regularity of the transverse intersection of two regular stratifications. Zbl 1218.58004
Orro, Patrice; Trotman, David
4
2010
On metric properties of stratified sets. Zbl 1033.58005
Bekka, Karim; Trotman, David
4
2003
Stratification theory. Zbl 1478.32001
Trotman, David
4
2020
Lectures on real stratification theory. Zbl 1176.58001
Trotman, David
3
2007
Horizontally-\(C^1\) controlled stratified maps and Thom’s first isotopy theorem. Zbl 0955.57020
Murolo, Claudio; Trotman, David
3
2000
On the local geometry of definably stratified sets. Zbl 1437.03134
Trotman, David; Valette, Guillaume
3
2017
On Zariski’s multiplicity problem. Zbl 0997.32022
Comte, Georges; Milman, Pierre; Trotman, David
3
2002
Transverse transversals and homeomorphic transversals. Zbl 0574.57013
Trotman, David
3
1985
On Canny’s roadman algorithm: Orienteering in semialgebraic sets (an application of singularity theory to theoretical robotics). Zbl 0751.14034
Trotman, David
3
1991
Counterexamples in stratification theory: Two discordant horns. Zbl 0378.57012
Trotman, D. J. A.
3
1977
Interpretations topologiques des conditions de Whitney. Zbl 0405.58006
Trotman, D.
3
1978
\((r)\) does not imply \((n)\) or \((npf)\) for definable sets in nonpolynomially bounded o-minimal structures. Zbl 1132.58004
Trotman, David; Wilson, Leslie
3
2006
Briançon-Speder examples and the failure of weak Whitney regularity. Zbl 1293.32033
Bekka, Karim; Trotman, David
3
2013
Detecting Thom faults in stratified mappings. Zbl 1311.58001
Trivedi, Saurabh; Trotman, David
3
2014
On the multiplicities of families of complex hypersurface-germs with constant Milnor number. Zbl 1267.14007
Plenat, Camille; Trotman, David
3
2013
On the canonical Whitney stratification of algebraic hypersurfaces. Zbl 0639.57011
Trotman, David
2
1986
Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone. Zbl 0832.58003
Kwieciński, Michał; Trotman, David
2
1995
Continuous liftings of vector fields. (Relèvements continus de champs de vecteurs.) Zbl 1006.58002
Murolo, Claudio; Trotman, David
2
2001
Equisingularity of sections, \((t^r)\) condition, and the integral closure of modules. Zbl 1204.32021
Gaffney, Terence; Trotman, David; Wilson, Leslie
2
2009
Determination of Lipschitz stratifications for the surfaces \(y^a= z^bx^c+ x^d\). Zbl 1083.14040
Juniati, Dwi; Trotman, David
2
2005
Sur les fibres de Nash de surfaces à singularités isolées. (On the Nash fibres of surfaces with isolated singularities). Zbl 0577.57014
Orro, Patrice; Trotman, David
2
1984
Semidifferentiability and smooth version of the fibration conjecture of Whitney. (Semidifférentiabilité et version lisse de la conjecture de fibration de Whitney.) Zbl 1128.58006
Murolo, C.; Trotman, D. J. A.
2
2006
Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces \(y^{a}=z^{b}x^{c}+x^{d}\). Zbl 1390.14107
Juniati, Dwi; Noirel, Laurent; Trotman, David
2
2018
Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Zbl 1354.32019
Trotman, David; van Straten, Duco
2
2016
Subanalytic and semialgebraic realisations of abstract stratified sets. Zbl 0970.32010
Noirel, Laurent; Trotman, David
1
2000
Normal cone with regular stratification. (Cône normal à une stratification régulière.) Zbl 0960.32009
Orro, Patrice; Trotman, David
1
2000
Geometric versions of Whitney regularity. Zbl 0329.57010
Trotman, D. J. A.
1
1976
Stratifications, singularities and differential equations. I: Singularities of maps, and applications to differential equations. Proceedings of the meeting on stratifications and singularities, Luminy, France, and the meeting on singularities, Manoa, Honolulu, HI, USA 1990. Zbl 0868.00057
Trotman, D.; Wilson, L.
1
1997
Stratifications, singularities and differential equations. II: Stratifications and topology of singular spaces. Proceedings of the meeting on stratifications and singularities, Luminy, France, and the meeting on singularities, Manoa, Honolulu, HI, USA 1990. Zbl 0868.00056
Trotman, D.; Wilson, L.
1
1997
Real stratified spaces. (Espaces stratifiés réels.) Zbl 0883.32025
Trotman, David
1
1997
Interpretations topologiques des conditions de Whitney. Zbl 0416.58004
Trotman, David
1
1978
Whitney (b)-regularity is weaker than Kuo’s ratio test for real algebraic stratifications. Zbl 0425.58005
Brodersen, Hans; Trotman, David
1
1978
Stratified transversality by isotopy. Zbl 1038.58002
Murolo, C.; Trotman, D. J. A.; Du Plessis, A. A.
1
2003
Stratifications, equisingularity and triangulation. Zbl 1457.32017
Trotman, David
1
2020
Corrigendum: “Briançon-Speder examples and the failure of weak Whitney regularity”. Zbl 1391.32045
Bekka, K.; Trotman, D.
1
2018
Stratification theory. Zbl 1478.32001
Trotman, David
4
2020
Stratifications, equisingularity and triangulation. Zbl 1457.32017
Trotman, David
1
2020
Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces \(y^{a}=z^{b}x^{c}+x^{d}\). Zbl 1390.14107
Juniati, Dwi; Noirel, Laurent; Trotman, David
2
2018
Corrigendum: “Briançon-Speder examples and the failure of weak Whitney regularity”. Zbl 1391.32045
Bekka, K.; Trotman, D.
1
2018
On the local geometry of definably stratified sets. Zbl 1437.03134
Trotman, David; Valette, Guillaume
3
2017
Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Zbl 1354.32019
Trotman, David; van Straten, Duco
2
2016
A geometric proof of the existence of definable Whitney stratifications. Zbl 1347.03076
Nguyen, Nhan; Trivedi, Saurabh; Trotman, David
11
2014
Poincaré-Hopf theorems on singular spaces. Zbl 1301.32022
King, H.; Trotman, D.
9
2014
Detecting Thom faults in stratified mappings. Zbl 1311.58001
Trivedi, Saurabh; Trotman, David
3
2014
Briançon-Speder examples and the failure of weak Whitney regularity. Zbl 1293.32033
Bekka, Karim; Trotman, David
3
2013
On the multiplicities of families of complex hypersurface-germs with constant Milnor number. Zbl 1267.14007
Plenat, Camille; Trotman, David
3
2013
Regularity of the transverse intersection of two regular stratifications. Zbl 1218.58004
Orro, Patrice; Trotman, David
4
2010
Equisingularity of sections, \((t^r)\) condition, and the integral closure of modules. Zbl 1204.32021
Gaffney, Terence; Trotman, David; Wilson, Leslie
2
2009
Lectures on real stratification theory. Zbl 1176.58001
Trotman, David
3
2007
\((r)\) does not imply \((n)\) or \((npf)\) for definable sets in nonpolynomially bounded o-minimal structures. Zbl 1132.58004
Trotman, David; Wilson, Leslie
3
2006
Semidifferentiability and smooth version of the fibration conjecture of Whitney. (Semidifférentiabilité et version lisse de la conjecture de fibration de Whitney.) Zbl 1128.58006
Murolo, C.; Trotman, D. J. A.
2
2006
Determination of Lipschitz stratifications for the surfaces \(y^a= z^bx^c+ x^d\). Zbl 1083.14040
Juniati, Dwi; Trotman, David
2
2005
Lipschitz stratifications and generic wings. Zbl 1039.32040
Juniati, Dwi; Trotman, David; Valette, Guillaume
4
2003
On metric properties of stratified sets. Zbl 1033.58005
Bekka, Karim; Trotman, David
4
2003
Stratified transversality by isotopy. Zbl 1038.58002
Murolo, C.; Trotman, D. J. A.; Du Plessis, A. A.
1
2003
Cône normal et régularités de Kuo-Verdier. (Normal cone and Kuo-Verdier regularities). Zbl 1014.58004
Orro, Patrice; Trotman, David
6
2002
On Zariski’s multiplicity problem. Zbl 0997.32022
Comte, Georges; Milman, Pierre; Trotman, David
3
2002
Continuous liftings of vector fields. (Relèvements continus de champs de vecteurs.) Zbl 1006.58002
Murolo, Claudio; Trotman, David
2
2001
Weakly Whitney stratified sets. Zbl 0942.58010
Bekka, K.; Trotman, D.
4
2000
Horizontally-\(C^1\) controlled stratified maps and Thom’s first isotopy theorem. Zbl 0955.57020
Murolo, Claudio; Trotman, David
3
2000
Subanalytic and semialgebraic realisations of abstract stratified sets. Zbl 0970.32010
Noirel, Laurent; Trotman, David
1
2000
Normal cone with regular stratification. (Cône normal à une stratification régulière.) Zbl 0960.32009
Orro, Patrice; Trotman, David
1
2000
Stratifications and finite determinacy. Zbl 1049.58040
Trotman, David J. A.; Wilson, Leslie C.
10
1999
Morphismes stratifiés semi-différentiables. (Semi-differentiable stratified morphisms.) Zbl 0943.58006
Murolo, Claudio; Trotman, David
4
1999
Multiplicity as a \(C^1\) invariant. Zbl 0921.32013
Trotman, David
6
1998
Bilipschitz invariance of the multiplicity. Zbl 0892.32024
Risler, Jean-Jacques; Trotman, David
14
1997
Stratifications, singularities and differential equations. I: Singularities of maps, and applications to differential equations. Proceedings of the meeting on stratifications and singularities, Luminy, France, and the meeting on singularities, Manoa, Honolulu, HI, USA 1990. Zbl 0868.00057
Trotman, D.; Wilson, L.
1
1997
Stratifications, singularities and differential equations. II: Stratifications and topology of singular spaces. Proceedings of the meeting on stratifications and singularities, Luminy, France, and the meeting on singularities, Manoa, Honolulu, HI, USA 1990. Zbl 0868.00056
Trotman, D.; Wilson, L.
1
1997
Real stratified spaces. (Espaces stratifiés réels.) Zbl 0883.32025
Trotman, David
1
1997
Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone. Zbl 0832.58003
Kwieciński, Michał; Trotman, David
2
1995
On Canny’s roadman algorithm: Orienteering in semialgebraic sets (an application of singularity theory to theoretical robotics). Zbl 0751.14034
Trotman, David
3
1991
Blowing-up and Whitney (a)-regularity. Zbl 0645.58003
Kuo, Tzee-Char; Trotman, David J. A.; Xin, Li Pei
5
1989
Une version microlocale de la condition (w) de Verdier. (A microlocal version of the condition (w) of Verdier). Zbl 0677.58043
Trotman, David
5
1989
On (\(\omega\) ) and \((t^ s)\)-regular stratifications. Zbl 0653.57008
Kuo, Tzee-Char; Trotman, David J. A.
4
1988
Propriétés métriques de familles \(\Phi\)-radiales de sous- variétés différentiables. (Metric properties of \(\Phi\)-radial families of differentiable submanifolds). Zbl 0642.57016
Bekka, Karim; Trotman, David
4
1987
On the regular stratifications and conormal structure of subanalytic sets. Zbl 0585.32006
Orro, Patrice; Trotman, David
4
1986
On the canonical Whitney stratification of algebraic hypersurfaces. Zbl 0639.57011
Trotman, David
2
1986
Transverse transversals and homeomorphic transversals. Zbl 0574.57013
Trotman, David
3
1985
Sur les fibres de Nash de surfaces à singularités isolées. (On the Nash fibres of surfaces with isolated singularities). Zbl 0577.57014
Orro, Patrice; Trotman, David
2
1984
Comparing regularity conditions on stratifications. Zbl 0519.58009
Trotman, David
4
1983
Whitney regularity and generic wings. Zbl 0442.58002
Navarro Aznar, V.; Trotman, David J. A.
9
1981
Whitney (b)-regularity is weaker than Kuo’s ratio test for real algebraic stratifications. Zbl 0429.58001
Brodersen, Hans; Trotman, David
18
1979
Stability of transversality to a stratification implies Whitney (a)- regularity. Zbl 0397.58016
Trotman, D. J. A.
17
1979
Geometric versions of Whitney regularity for smooth stratifications. Zbl 0456.58002
Trotman, David J. A.
14
1979
Whitney (a)-faults which are hard to detect. Zbl 0456.58003
Kambouchner, Anne; Trotman, David J. A.
5
1979
Interpretations topologiques des conditions de Whitney. Zbl 0405.58006
Trotman, D.
3
1978
Interpretations topologiques des conditions de Whitney. Zbl 0416.58004
Trotman, David
1
1978
Whitney (b)-regularity is weaker than Kuo’s ratio test for real algebraic stratifications. Zbl 0425.58005
Brodersen, Hans; Trotman, David
1
1978
Counterexamples in stratification theory: Two discordant horns. Zbl 0378.57012
Trotman, D. J. A.
3
1977
A transversality property weaker than Whitney (a)-regularity. Zbl 0344.57009
Trotman, D. J. A.
8
1976
Geometric versions of Whitney regularity. Zbl 0329.57010
Trotman, D. J. A.
1
1976
all top 5

Cited by 136 Authors

19 Trotman, David John Angelo
6 Ferrarotti, Massimo
6 Koike, Satoshi
5 Dutertre, Nicolas
5 Parusiński, Adam
5 Sampaio, José Edson
4 Trivedi, Saurabh
4 Valette, Guillaume
3 Bekka, Karim
3 Fortuna, Elisabetta
3 Murolo, Claudio
3 Paunescu, Laurentiu
3 Soares Ruas, Maria Aparecida
3 Seade, Jose Antonio
3 Wilson, Leslie Charles
2 Alberti, Lionel F.
2 Ayala, David
2 Brasselet, Jean-Paul
2 Comte, Georges
2 Eyral, Christophe
2 Francis, John
2 Gaffney, Terence
2 Kuo, Tzee-Char
2 Ludwig, Ursula Beate
2 Nguyen, Nhan T.
2 Phạm Tiên So’n
1 Abderrahmane, Ould M.
1 Andersson, Fredrik K.
1 Andronikof, Emmanuel
1 Bastos, Jéfferson L. R.
1 Bernig, Andreas
1 Bivià-Ausina, Carles
1 Boudreaux, Blake J.
1 Bröcker, Ludwig
1 Bruce, James William
1 Brzostowski, Szymon
1 Buzzi, Claudio Aguinaldo
1 Callejas-Bedregal, Roberto
1 Capco, Jose
1 Carlsson, Marcus
1 Clotet, Josep
1 Czapla, Małgorzata
1 D’Acunto, Didier
1 de Góes Grulha, Nivaldo jun.
1 Degeratu, Anda
1 Dimca, Alexandru
1 du Plessis, Andrew Allan
1 Faber, Eleonore
1 Farnik, Michał
1 Feehan, Paul M. N.
1 Fernandes, Alexandre Cesar Gurgel
1 Fernández de Bobadilla, Javier
1 Giles Flores, Arturo
1 Garakani, Mahdi Teymuri
1 García Ramírez, Erick
1 Giacomoni, Julien
1 Gournay, L.
1 Greuel, Gert-Martin
1 Günther, Uwe
1 Hà Huy Vui
1 Hauser, Herwig
1 Hoàng, Phi-Dũng
1 Huynh Van Ngai
1 Jelonek, Zbigniew
1 Joiţa, Cezar
1 Juniati, Dwi
1 Kambouchner, Anne
1 Kozyakin, Viktor Sergeevich
1 Kurdyka, Krzysztof
1 Kwieciński, Michał
1 Lê Công Trình
1 Lê Dûng Tráng
1 Lion, Jean-Marie
1 Lu, Yung-Chen
1 Lương, Việt Chương
1 Magret, Maria Dolors
1 Maisonobe, Philippe
1 Matsui, Yutaka
1 McCrory, Clint G.
1 Menegon Neto, Aurélio
1 Migus, Piotr
1 Milman, Pierre D.
1 Mongodi, Samuele
1 Montaño, Jonathan
1 Morgado, Michelle F. Z.
1 Mostow, Mark Alan
1 Mourrain, Bernard
1 Moya-Pérez, Juan Antonio
1 Navarro Aznar, Vicente
1 Nguyen Hong Duc
1 Nguyen, Xuan Viet Nhan
1 Nicolaescu, Liviu I.
1 Noirel, Laurent
1 Orro, Patrice
1 Osińska-Ulrych, Beata
1 Pfister, Gerhard
1 Puerta, Xavier
1 Rangachev, Antoni
1 Riener, Cordian
1 Risler, Jean-Jacques
...and 36 more Authors
all top 5

Cited in 58 Serials

10 Annales de l’Institut Fourier
7 Journal of Singularities
4 Advances in Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Bulletin of the London Mathematical Society
4 Proceedings of the American Mathematical Society
4 International Journal of Mathematics
3 Inventiones Mathematicae
3 Mathematische Zeitschrift
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin de la Société Mathématique de France
2 Journal of Differential Equations
2 Mathematische Annalen
2 Nagoya Mathematical Journal
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Journal of Symbolic Computation
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Geometry
2 Bulletin des Sciences Mathématiques
2 Geometry & Topology
2 Bulletin of the Brazilian Mathematical Society. New Series
2 European Journal of Mathematics
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Annales Polonici Mathematici
1 Boletim da Sociedade Brasileira de Matemática
1 Hokkaido Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Applied Mathematics and Mechanics. (English Edition)
1 Bulletin of the Iranian Mathematical Society
1 Constructive Approximation
1 The Journal of Geometric Analysis
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Applicable Algebra in Engineering, Communication and Computing
1 Mathematical Logic Quarterly (MLQ)
1 Doklady Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Advances in Geometry
1 The Journal of Prime Research in Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Topology
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Arnold Mathematical Journal

Citations by Year

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