| dc.contributor.author |
Charitos, C |
en |
| dc.contributor.author |
Oertel, U |
en |
| dc.date.accessioned |
2014-06-06T06:51:46Z |
|
| dc.date.available |
2014-06-06T06:51:46Z |
|
| dc.date.issued |
2012 |
en |
| dc.identifier.issn |
01668641 |
en |
| dc.identifier.uri |
http://dx.doi.org/10.1016/j.topol.2012.02.011 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/5686 |
|
| dc.subject |
Essential disks |
en |
| dc.subject |
Handlebodies |
en |
| dc.subject |
Normal surface theory |
en |
| dc.title |
Essential disks and semi-essential surfaces in 3-manifolds |
en |
| heal.type |
journalArticle |
en |
| heal.identifier.primary |
10.1016/j.topol.2012.02.011 |
en |
| heal.publicationDate |
2012 |
en |
| heal.abstract |
If M is a manifold with compressible boundary, we analyze essential disks in M, as well as incompressible, but not necessarily ∂-incompressible, surfaces in M. We are most interested in the case where M is a handlebody or compression body. The analysis depends on a new normal surface theory and is analogous to the analysis of incompressible surfaces using branched surfaces. The surfaces in question are carried by a finite set of ""carriers."" We hope our theory of carriers will be used in other papers to describe objects representing limits of essential disks in a handlebody or in a 3-manifold having compressible boundary. © 2012 Elsevier B.V. |
en |
| heal.journalName |
Topology and its Applications |
en |
| dc.identifier.issue |
8 |
en |
| dc.identifier.volume |
159 |
en |
| dc.identifier.doi |
10.1016/j.topol.2012.02.011 |
en |
| dc.identifier.spage |
2174 |
en |
| dc.identifier.epage |
2186 |
en |