# Extensions through codimension one to sense preserving mappings

Annales de l'institut Fourier (1973)

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

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topTitus, 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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