A decomposition into homeomorphic handlebodies with naturally equivalent involutions

Roger B. Nelson

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

Abstract:

Downing [6] extended the well-known result that any closed 3 -manifold X contains a handlebody H such that c 1 ( X − H ) is homeomorphic to H in the case where X is a compact 3 -manifold with nonvoid boundary. We show that if X is a compact 3 -manifold with involution h having 2 -dimensional fixed point set, then X contains an h -invariant handlebody H such that the involutions induced on H and c 1 ( X − H ) are naturally equivalent.

Date: 1990
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/13/518547.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/13/518547.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:518547

DOI: 10.1155/S0161171290000059

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().