Counting connected components of the complement of the image of a codimension 1 map
Compositio Mathematica (1994)
- Volume: 93, Issue: 1, page 37-47
- ISSN: 0010-437X
Access Full Article
top
How to cite
topNuño Ballesteros, Juan J.. "Counting connected components of the complement of the image of a codimension 1 map." Compositio Mathematica 93.1 (1994): 37-47. <http://eudml.org/doc/90313>.
@article{NuñoBallesteros1994,
author = {Nuño Ballesteros, Juan J.},
journal = {Compositio Mathematica},
keywords = {singular set; number of components of the complement; proper continuous map between connected manifolds; Alexander-Čech cohomology},
language = {eng},
number = {1},
pages = {37-47},
publisher = {Kluwer Academic Publishers},
title = {Counting connected components of the complement of the image of a codimension 1 map},
url = {http://eudml.org/doc/90313},
volume = {93},
year = {1994},
}
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
PB - Kluwer Academic Publishers
VL - 93
IS - 1
SP - 37
EP - 47
LA - eng
KW - singular set; number of components of the complement; proper continuous map between connected manifolds; Alexander-Čech cohomology
UR - http://eudml.org/doc/90313
ER -
References
top- 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). Zbl0791.57020MR1237182
- 2 Biasi, C., Motta, W. and Saeki, O.: A remark on the separation by immersions in codimension-1, preprint (1992). Zbl0829.57017MR1314617
- 3 Biasi, C. and Romero Fuster, M.C.: A converse of the Jordan-Brouwer theorem, Illinois J. Math.36 (1992) 500-504. Zbl0739.57020MR1161979
- 4 Feighn, M.E.: Separation properties of codimension-1 immersions, Topology27 (1988) 319-321. Zbl0658.57019MR963634
- 5 Golubitsky, M. and Guillemin, V.: Stable Mappings and Their Singularities. Grad Text in Math.14, Springer-Verlag, Berlin, Heidelberg and New York, 1973. Zbl0294.58004MR341518
- 6 Izumiya, S. and Marar, W.L.: The Euler number of a topologically stable singular surface in a 3-manifold, preprint (1992). MR1250214
- 7 Nuño Ballesteros, J.J. and Romero Fuster, M.C.: Separation properties of continuous maps in codimension 1 and geometrical applications. Topology and its Applications46 (1992) 107-111. Zbl0787.57012MR1184109
- 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. Zbl0145.43303MR210112
- 10 Vaccaro, M.: Proprietà topologiche delle rappresentazioni localmente biunivoche. Math. Ann.133 (1957) 173-184. Zbl0084.39302MR87108
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.