Extensions through codimension one to sense preserving mappings

Charles J. Titus

Annales de l'institut Fourier (1973)

  • Volume: 23, Issue: 2, page 215-227
  • ISSN: 0373-0956

Abstract

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The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition is given in terms of motivation, results, approaches and conjectures.

How to cite

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Titus, Charles J.. "Extensions through codimension one to sense preserving mappings." Annales de l'institut Fourier 23.2 (1973): 215-227. <http://eudml.org/doc/74126>.

@article{Titus1973,
abstract = {The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition is given in terms of motivation, results, approaches and conjectures.},
author = {Titus, Charles J.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {215-227},
publisher = {Association des Annales de l'Institut Fourier},
title = {Extensions through codimension one to sense preserving mappings},
url = {http://eudml.org/doc/74126},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Titus, Charles J.
TI - Extensions through codimension one to sense preserving mappings
JO - Annales de l'institut Fourier
PY - 1973
PB - Association des Annales de l'Institut Fourier
VL - 23
IS - 2
SP - 215
EP - 227
AB - The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition is given in terms of motivation, results, approaches and conjectures.
LA - eng
UR - http://eudml.org/doc/74126
ER -

References

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