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One-sided incompressible surfaces in Seifert fibered spaces
Journal article   Open access   Peer reviewed

One-sided incompressible surfaces in Seifert fibered spaces

Charles Frohman
Topology and its applications, Vol.23(2), pp.103-116
1986
DOI: 10.1016/0166-8641(86)90032-5
url
https://doi.org/10.1016/0166-8641(86)90032-5View
Published (Version of record) Open Access

Abstract

The author proves a structure theorem for one-sided incompressible surfaces in Seifert fibered spaces, and studies the isotopy problem for a class of surfaces (called pseudovertical surfaces) that are supplied by the structure theorem. He then uses the structure theorem to solve the existence and homeomorphism problem for one-sided incompressible surfaces in circle bundles over a closed orientable surface.
incompressible Seifert fibered spaces

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