Pracì Mìžnarodnogo Geometričnogo Centru (Feb 2020)

Foliations with non-compact leaves on surfaces

  • Sergiy Maksymenko,
  • Eugene Polulyakh

DOI
https://doi.org/10.15673/tmgc.v8i3-4.1603
Journal volume & issue
Vol. 8, no. 3-4
pp. 17 – 30

Abstract

Read online

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.

Keywords