Pracì Mìžnarodnogo Geometričnogo Centru (Feb 2020)
Foliations with non-compact leaves on surfaces
Abstract
The paper studies non-compact surfaces obtained by gluing strips R × (−1, 1) with at most countably many boundary intervals along some of these intervals. Every such strip possesses a foliation by parallel lines, which gives a foliation on the resulting surface. It is proved that the identity path component of the group of homeomorphisms of that foliation is contractible.
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