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Essential Closed Surfaces in Bounded 3-manifolds
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cooper, Daryl Long, Darren D. Reid, Alan W. |
| Copyright Year | 1997 |
| Abstract | A question dating back to Waldhausen [10] and discussed in various contexts by Thurston (see [9]) is the problem of the extent to which irreducible 3-manifolds with infinite fundamental group must contain surface groups. To state our results precisely, it is convenient to make the definition that a map i : S # M of a closed, orientable connected surface S is essential if it is injective at the level of fundamental groups and the group i∗π1(S) cannot be conjugated into a subgroup π1(∂0M) of π1(M), where ∂0M is a component of ∂M . This latter condition is equivalent to the statement that the image of the surface S cannot be freely homotoped into ∂M . One of the main results of this paper is the following: |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ma.utexas.edu/users/areid/essential.pdf |
| Alternate Webpage(s) | http://www.math.ucsb.edu/~long/pubpdf/esssurfaces.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/jams/1997-10-03/S0894-0347-97-00236-1/S0894-0347-97-00236-1.pdf |
| Alternate Webpage(s) | http://www.ams.org/jams/1997-10-03/S0894-0347-97-00236-1/S0894-0347-97-00236-1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Immunostimulating conjugate (antigen) Irreducibility Subgroup A Nepoviruses |
| Content Type | Text |
| Resource Type | Article |
