The group SSympeo(M, ω) of strong symplectic homeomorphisms or group of ssympeomorphisms of a closed connected symplectic manifold (M, ω) was defined and studied in , . In these papers the author uses the L(1,∞)-metric on the group Iso(M, ω) of all symplectic isotopies. In this paper we study the set SSympeo(M, ω)∞ of ssympeomorphisms in the L∞-metric. We prove the equality between SSympeo(M, ω) and SSympeo(M, ω)∞. This generalizes Müller's result  asserting that Hameo(M, ω) = Hameo(M, ω)∞.
All Science Journal Classification (ASJC) codes
- Geometry and Topology