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Trotman, David John Angelo

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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 4 Books
Reviewing Activity: 4 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 166 times in 92 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
13
1979
Stability of transversality to a stratification implies Whitney (a)- regularity. Zbl 0397.58016
Trotman, D. J. A.
11
1979
Bilipschitz invariance of the multiplicity. Zbl 0892.32024
Risler, Jean-Jacques; Trotman, David
11
1997
Geometric versions of Whitney regularity for smooth stratifications. Zbl 0456.58002
Trotman, David J. A.
8
1979
Stratifications and finite determinacy. Zbl 1049.58040
Trotman, David J. A.; Wilson, Leslie C.
8
1999
Whitney regularity and generic wings. Zbl 0442.58002
Navarro Aznar, V.; Trotman, David J. A.
7
1981
A transversality property weaker than Whitney (a)-regularity. Zbl 0344.57009
Trotman, D. J. A.
7
1976
Poincaré-Hopf theorems on singular spaces. Zbl 1301.32022
King, H.; Trotman, D.
5
2014
A geometric proof of the existence of definable Whitney stratifications. Zbl 1347.03076
Nguyen, Nhan; Trivedi, Saurabh; Trotman, David
5
2014
Une version microlocale de la condition (w) de Verdier. (A microlocal version of the condition (w) of Verdier). Zbl 0677.58043
Trotman, David
4
1989
Whitney (a)-faults which are hard to detect. Zbl 0456.58003
Kambouchner, Anne; Trotman, David J. A.
4
1979
Cône normal et régularités de Kuo-Verdier. (Normal cone and Kuo-Verdier regularities). Zbl 1014.58004
Orro, Patrice; Trotman, David
4
2002
On the regular stratifications and conormal structure of subanalytic sets. Zbl 0585.32006
Orro, Patrice; Trotman, David
4
1986
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
Lectures on real stratification theory. Zbl 1176.58001
Trotman, David
3
2007
Interpretations topologiques des conditions de Whitney. Zbl 0405.58006
Trotman, D.
3
1978
Comparing regularity conditions on stratifications. Zbl 0519.58009
Trotman, David
3
1983
Morphismes stratifiés semi-différentiables. (Semi-differentiable stratified morphisms.) Zbl 0943.58006
Murolo, Claudio; Trotman, David
3
1999
Weakly Whitney stratified sets. Zbl 0942.58010
Bekka, K.; Trotman, D.
3
2000
On Zariski’s multiplicity problem. Zbl 0997.32022
Comte, Georges; Milman, Pierre; Trotman, David
3
2002
Multiplicity as a \(C^1\) invariant. Zbl 0921.32013
Trotman, David
3
1998
Horizontally-\(C^1\) controlled stratified maps and Thom’s first isotopy theorem. Zbl 0955.57020
Murolo, Claudio; Trotman, David
3
2000
Regularity of the transverse intersection of two regular stratifications. Zbl 1218.58004
Orro, Patrice; Trotman, David
3
2010
Blowing-up and Whitney (a)-regularity. Zbl 0645.58003
Kuo, Tzee-Char; Trotman, David J. A.; Xin, Li Pei
3
1989
On (\(\omega\) ) and \((t^ s)\)-regular stratifications. Zbl 0653.57008
Kuo, Tzee-Char; Trotman, David J. A.
3
1988
On the multiplicities of families of complex hypersurface-germs with constant Milnor number. Zbl 1267.14007
Plenat, Camille; Trotman, David
3
2013
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
Briançon-Speder examples and the failure of weak Whitney regularity. Zbl 1293.32033
Bekka, Karim; Trotman, David
2
2013
Continuous liftings of vector fields. (Relèvements continus de champs de vecteurs.) Zbl 1006.58002
Murolo, Claudio; Trotman, David
2
2001
Counterexamples in stratification theory: Two discordant horns. Zbl 0378.57012
Trotman, D. J. A.
2
1977
On Canny’s roadman algorithm: Orienteering in semialgebraic sets (an application of singularity theory to theoretical robotics). Zbl 0751.14034
Trotman, David
2
1991
Transverse transversals and homeomorphic transversals. Zbl 0574.57013
Trotman, David
2
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
Determination of Lipschitz stratifications for the surfaces \(y^a= z^bx^c+ x^d\). Zbl 1083.14040
Juniati, Dwi; Trotman, David
2
2005
On metric properties of stratified sets. Zbl 1033.58005
Bekka, Karim; Trotman, David
2
2003
Lipschitz stratifications and generic wings. Zbl 1039.32040
Juniati, Dwi; Trotman, David; Valette, Guillaume
2
2003
\((r)\) does not imply \((n)\) or \((npf)\) for definable sets in nonpolynomially bounded o-minimal structures. Zbl 1132.58004
Trotman, David; Wilson, Leslie
1
2006
Detecting Thom faults in stratified mappings. Zbl 1311.58001
Trivedi, Saurabh; Trotman, David
1
2014
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
Scribbling continua in \(\mathbb{R}^ n\) and constructing singularities with prescribed Nash fibre and tangent cone. Zbl 0832.58003
Kwieciński, Michał; Trotman, David
1
1995
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
Stratified transversality by isotopy. Zbl 1038.58002
Murolo, C.; Trotman, D. J. A.; Du Plessis, A. A.
1
2003
Normal cone with regular stratification. (Cône normal à une stratification régulière.) Zbl 0960.32009
Orro, Patrice; Trotman, David
1
2000
Subanalytic and semialgebraic realisations of abstract stratified sets. Zbl 0970.32010
Noirel, Laurent; Trotman, David
1
2000
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
1
2018
On the local geometry of definably stratified sets. Zbl 1437.03134
Trotman, David; Valette, Guillaume
1
2017
Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Zbl 1354.32019
Trotman, David; van Straten, Duco
1
2016
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
1
2018
On the local geometry of definably stratified sets. Zbl 1437.03134
Trotman, David; Valette, Guillaume
1
2017
Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Zbl 1354.32019
Trotman, David; van Straten, Duco
1
2016
Poincaré-Hopf theorems on singular spaces. Zbl 1301.32022
King, H.; Trotman, D.
5
2014
A geometric proof of the existence of definable Whitney stratifications. Zbl 1347.03076
Nguyen, Nhan; Trivedi, Saurabh; Trotman, David
5
2014
Detecting Thom faults in stratified mappings. Zbl 1311.58001
Trivedi, Saurabh; Trotman, David
1
2014
On the multiplicities of families of complex hypersurface-germs with constant Milnor number. Zbl 1267.14007
Plenat, Camille; Trotman, David
3
2013
Briançon-Speder examples and the failure of weak Whitney regularity. Zbl 1293.32033
Bekka, Karim; Trotman, David
2
2013
Regularity of the transverse intersection of two regular stratifications. Zbl 1218.58004
Orro, Patrice; Trotman, David
3
2010
Lectures on real stratification theory. Zbl 1176.58001
Trotman, David
3
2007
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
\((r)\) does not imply \((n)\) or \((npf)\) for definable sets in nonpolynomially bounded o-minimal structures. Zbl 1132.58004
Trotman, David; Wilson, Leslie
1
2006
Determination of Lipschitz stratifications for the surfaces \(y^a= z^bx^c+ x^d\). Zbl 1083.14040
Juniati, Dwi; Trotman, David
2
2005
On metric properties of stratified sets. Zbl 1033.58005
Bekka, Karim; Trotman, David
2
2003
Lipschitz stratifications and generic wings. Zbl 1039.32040
Juniati, Dwi; Trotman, David; Valette, Guillaume
2
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
4
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.
3
2000
Horizontally-\(C^1\) controlled stratified maps and Thom’s first isotopy theorem. Zbl 0955.57020
Murolo, Claudio; Trotman, David
3
2000
Normal cone with regular stratification. (Cône normal à une stratification régulière.) Zbl 0960.32009
Orro, Patrice; Trotman, David
1
2000
Subanalytic and semialgebraic realisations of abstract stratified sets. Zbl 0970.32010
Noirel, Laurent; Trotman, David
1
2000
Stratifications and finite determinacy. Zbl 1049.58040
Trotman, David J. A.; Wilson, Leslie C.
8
1999
Morphismes stratifiés semi-différentiables. (Semi-differentiable stratified morphisms.) Zbl 0943.58006
Murolo, Claudio; Trotman, David
3
1999
Multiplicity as a \(C^1\) invariant. Zbl 0921.32013
Trotman, David
3
1998
Bilipschitz invariance of the multiplicity. Zbl 0892.32024
Risler, Jean-Jacques; Trotman, David
11
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
1
1995
On Canny’s roadman algorithm: Orienteering in semialgebraic sets (an application of singularity theory to theoretical robotics). Zbl 0751.14034
Trotman, David
2
1991
Une version microlocale de la condition (w) de Verdier. (A microlocal version of the condition (w) of Verdier). Zbl 0677.58043
Trotman, David
4
1989
Blowing-up and Whitney (a)-regularity. Zbl 0645.58003
Kuo, Tzee-Char; Trotman, David J. A.; Xin, Li Pei
3
1989
On (\(\omega\) ) and \((t^ s)\)-regular stratifications. Zbl 0653.57008
Kuo, Tzee-Char; Trotman, David J. A.
3
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
Transverse transversals and homeomorphic transversals. Zbl 0574.57013
Trotman, David
2
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
3
1983
Whitney regularity and generic wings. Zbl 0442.58002
Navarro Aznar, V.; Trotman, David J. A.
7
1981
Whitney (b)-regularity is weaker than Kuo’s ratio test for real algebraic stratifications. Zbl 0429.58001
Brodersen, Hans; Trotman, David
13
1979
Stability of transversality to a stratification implies Whitney (a)- regularity. Zbl 0397.58016
Trotman, D. J. A.
11
1979
Geometric versions of Whitney regularity for smooth stratifications. Zbl 0456.58002
Trotman, David J. A.
8
1979
Whitney (a)-faults which are hard to detect. Zbl 0456.58003
Kambouchner, Anne; Trotman, David J. A.
4
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.
2
1977
A transversality property weaker than Whitney (a)-regularity. Zbl 0344.57009
Trotman, D. J. A.
7
1976
Geometric versions of Whitney regularity. Zbl 0329.57010
Trotman, D. J. A.
1
1976
all top 5

Cited by 110 Authors

17 Trotman, David John Angelo
6 Ferrarotti, Massimo
4 Koike, Satoshi
4 Parusiński, Adam
4 Trivedi, Saurabh
4 Valette, Guillaume
3 Dutertre, Nicolas
3 Fortuna, Elisabetta
3 Murolo, Claudio
3 Sampaio, José Edson
3 Wilson, Leslie Charles
2 Ayala, David
2 Bekka, Karim
2 Comte, Georges
2 Eyral, Christophe
2 Francis, John
2 Kuo, Tzee-Char
2 Nguyen, Nhan T.
2 Paunescu, Laurentiu
2 Phạm Tiên So’n
2 Seade, Jose Antonio
1 Abderrahmane, Ould M.
1 Alberti, Lionel F.
1 Andersson, Fredrik K.
1 Andronikof, Emmanuel
1 Bernig, Andreas
1 Brasselet, Jean-Paul
1 Bröcker, Ludwig
1 Bruce, James William
1 Brzostowski, Szymon
1 Carlsson, Marcus
1 Clotet, Josep
1 Czapla, Małgorzata
1 de Góes Grulha, Nivaldo jun.
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 Giles Flores, Arturo
1 Gaffney, Terence
1 Garakani, Mahdi Teymuri
1 Giacomoni, Julien
1 Gournay, L.
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 Kwieciński, Michał
1 Lê Công Trình
1 Lê Dûng Tráng
1 Lion, Jean-Marie
1 Lu, Yung-Chen
1 Ludwig, Ursula Beate
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 Mostow, Mark Alan
1 Mourrain, Bernard
1 Navarro Aznar, Vicente
1 Nguyen Hong Duc
1 Nicolaescu, Liviu I.
1 Noirel, Laurent
1 Orro, Patrice
1 Osińska-Ulrych, Beata
1 Puerta, Xavier
1 Riener, Cordian
1 Risler, Jean-Jacques
1 Robinson, Michael
1 Roche, Claude Andre
1 Rodak, Tomasz
1 Rotter, Ingrid
1 Rozenblyum, Nick
1 Soares Ruas, Maria Aparecida
1 Saito, Morihiko
1 Samsonov, Boris F.
1 Santana, Hellen
1 Shen, Chun
1 Shi, Weihui
1 Shiota, Masahiro
1 Shnider, Steven
1 Silva, O. N.
1 Skalski, Grzegorz
1 Slodkowski, Zbigniew
1 Spodzieja, Stanisław
1 Takeuchi, Kiyoshi
1 Tanaka, Hiro Lee
...and 10 more Authors
all top 5

Cited in 51 Serials

7 Annales de l’Institut Fourier
6 Journal of Singularities
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Proceedings of the American Mathematical Society
3 Advances in Mathematics
3 Bulletin of the London Mathematical Society
3 Inventiones Mathematicae
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 Mathematische Annalen
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 International Journal of Mathematics
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
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 Boletim da Sociedade Brasileira de Matemática
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
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 Journal of Symbolic Computation
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 Doklady Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Advances in Geometry
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
1 European Journal of Mathematics

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