On Some Branched Surfaces Which Admit Expanding Immersions II

HAYAKAWA, Eijirou

Tokyo J. of Math., Tome 14 (1991) no. 2, p. 1-6 / Harvested from Project Euclid

Résumé

Let $K$ be a branched surface whose branch set $S$ is an embedded circle and such that $K\backslash S$ is connected and oriented. We show that $K$ does not admit expanding immersions. Combined with our previous result [3], this implies that among branched surfaces with branch sets single embedded circles, there are only two which admit expanding immersions.

Publié le : 1991-06-15
Classification:

@article{1270130481,
     author = {HAYAKAWA, Eijirou},
     title = {On Some Branched Surfaces Which Admit Expanding Immersions II},
     journal = {Tokyo J. of Math.},
     volume = {14},
     number = {2},
     year = {1991},
     pages = { 1-6},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130481}
}

HAYAKAWA, Eijirou. On Some Branched Surfaces Which Admit Expanding Immersions II. Tokyo J. of Math., Tome 14 (1991) no. 2, pp.  1-6. http://gdmltest.u-ga.fr/item/1270130481/