Counting connected components of the complement of the image of a codimension $1$ map
Compositio Mathematica, Tome 93 (1994) no. 1, pp. 37-47.
@article{CM_1994__93_1_37_0,
author = {Nu\~no Ballesteros, Juan J.},
title = {Counting connected components of the complement of the image of a codimension $1$ map},
journal = {Compositio Mathematica},
pages = {37--47},
publisher = {Kluwer Academic Publishers},
volume = {93},
number = {1},
year = {1994},
zbl = {0833.55006},
mrnumber = {1286797},
language = {en},
url = {http://www.numdam.org/item/CM_1994__93_1_37_0/}
}
TY  - JOUR
AU  - Nuño Ballesteros, Juan J.
TI  - Counting connected components of the complement of the image of a codimension $1$ map
JO  - Compositio Mathematica
PY  - 1994
DA  - 1994///
SP  - 37
EP  - 47
VL  - 93
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1994__93_1_37_0/
UR  - https://zbmath.org/?q=an%3A0833.55006
UR  - https://www.ams.org/mathscinet-getitem?mr=1286797
LA  - en
ID  - CM_1994__93_1_37_0
ER  - 
Nuño Ballesteros, Juan J. Counting connected components of the complement of the image of a codimension $1$ map. Compositio Mathematica, Tome 93 (1994) no. 1, pp. 37-47. http://www.numdam.org/item/CM_1994__93_1_37_0/

1 Biasi, C., Motta, W. and Saeki, O.: A note on separation properties of codimension-1 immersions with normal crossings, Topology and its applications (to appear). | MR 1237182 | Zbl 0791.57020

2 Biasi, C., Motta, W. and Saeki, O.: A remark on the separation by immersions in codimension-1, preprint (1992). | MR 1314617 | Zbl 0829.57017

3 Biasi, C. and Romero Fuster, M.C.: A converse of the Jordan-Brouwer theorem, Illinois J. Math. 36 (1992) 500-504. | MR 1161979 | Zbl 0739.57020

4 Feighn, M.E.: Separation properties of codimension-1 immersions, Topology 27 (1988) 319-321. | MR 963634 | Zbl 0658.57019

5 Golubitsky, M. and Guillemin, V.: Stable Mappings and Their Singularities. Grad Text in Math. 14, Springer-Verlag, Berlin, Heidelberg and New York, 1973. | MR 341518 | Zbl 0294.58004

6 Izumiya, S. and Marar, W.L.: The Euler number of a topologically stable singular surface in a 3-manifold, preprint (1992). | MR 1250214

7 Nuño Ballesteros, J.J. and Romero Fuster, M.C.: Separation properties of continuous maps in codimension 1 and geometrical applications. Topology and its Applications 46 (1992) 107-111. | MR 1184109 | Zbl 0787.57012

8 Saeki, O.: A separation property of codimension-1 maps with a normal crossing point, preprint (1992).

9 Spanier, E.H.: Algebraic Topology. Tata McGraw-Hill Publ. Co. Ltda., Bombay-New Delhi, 1966. | MR 210112 | Zbl 0145.43303

10 Vaccaro, M.: Proprietà topologiche delle rappresentazioni localmente biunivoche. Math. Ann. 133 (1957) 173-184. | MR 87108 | Zbl 0084.39302