Surfaces with assigned apparent contour

Domenico Luminati

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 3, page 311-341
  • ISSN: 0391-173X

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Luminati, Domenico. "Surfaces with assigned apparent contour." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.3 (1994): 311-341. <http://eudml.org/doc/84180>.

@article{Luminati1994,
author = {Luminati, Domenico},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {smooth surfaces; smooth maps; critical points; bifurcation set; plane curves; nodes; cusps; Whitney catastrophes; apparent contour},
language = {eng},
number = {3},
pages = {311-341},
publisher = {Scuola normale superiore},
title = {Surfaces with assigned apparent contour},
url = {http://eudml.org/doc/84180},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Luminati, Domenico
TI - Surfaces with assigned apparent contour
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 3
SP - 311
EP - 341
LA - eng
KW - smooth surfaces; smooth maps; critical points; bifurcation set; plane curves; nodes; cusps; Whitney catastrophes; apparent contour
UR - http://eudml.org/doc/84180
ER -

References

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  2. [2] V.L. Carrara Zanetic, Extensions of immersions in dimension two. Trabalhos do Departamento de Matemática92 (1986), Universidade de Săo Paulo, Instituto de Matemática e Estatitistica, Săo Paulo. MR889895
  3. [3] C. Curley - D. Wolitzer, Branched immersions of surfaces. Michigan Math. J.33 (1986), 131-144. Zbl0612.57020MR837572
  4. [4] C.L. Ezell, Branched extensions of curves in compact manifold. Trans. Amer. Math. Soc.259 (1980), 533-546. Zbl0441.57001MR567095
  5. [5] C.L. Ezell - M.L. Marx, Branched extensions of curves in oriented surfaces. Trans. Amer. Math. Soc.259 (1980), 515-532. Zbl0435.57001MR567094
  6. [6] G.K. Francis, Assembling compact riemann surfaces with given boundary curves and branch points on the sphere, Illinois J. Math.20 (1976), 198-217. Zbl0318.57001MR402776
  7. [7] G.K. Francis, Polymersions with nontrivial target. Illinois J. Math.22 (1978), 161-170. Zbl0433.57002MR463428
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  10. [10] R.Z. Goldstein - E.C. Turner, Extending immersions of the circle. Preprint, State University of New York at Albany, Department of Mathematics. 
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  12. [12] D. Luminati, Factorizations of generic mappings between surfaces. Proc. Amer. Math. Soc.118 (1993), 247-253. Zbl0794.57012MR1170547
  13. [13] D. Luminati, Immersioni di superficie e contorni apparenti. Tesi di Dottorato. Dottorato di Ricerca in Matematica, Università di Pisa (1992). 
  14. [14] M.L. Marx, Extensions of normal immersions of S1 into R2. Trans. Amer. Math. Soc.187 (1974), 309-326. Zbl0284.30028MR341505
  15. [15] K.C. Millet, Generic smooth maps of surfaces. Topology Appl.18 (1984), 197-215. Zbl0554.57018MR769291
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  17. [17] R. Pignoni, Projections of Surfaces with a Connected Fold Curve. Preprint, Università di Milano (1990). Zbl0767.57020MR1202876
  18. [18] R. Pignoni, On surfaces and they contours. Manuscripta Math.72 (1991), 223-249. Zbl0736.53007MR1118544
  19. [19] V. Poenaru, Extension des immersions en codimension 1 (d'aprés Samuel Blank). Exposition 342, Séminaire Bourbaki20 (1967/68). Zbl0223.57013
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  21. [21] R. Thom, Les Singularités des Application Diffèrentiables. Ann. Inst. Fourier6 (1955-1956), 43-87. Zbl0075.32104MR87149
  22. [22] H. Whitney, On singularities of mappings of Euclidean space. I. Ann. of Math.62 (1955), 374-410. Zbl0068.37101MR73980

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